KILLED
proof of input_6LlXsEVbPN.trs
# AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished


The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).

(0) CpxTRS
(1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxTRS
(3) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(4) CpxTRS
(5) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(6) CdtProblem
    (7) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) CpxRelTRS
    (9) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
    (10) TRS for Loop Detection
    (11) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (12) CpxRelTRS
        (13) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (14) typed CpxTrs
        (15) OrderProof [LOWER BOUND(ID), 8 ms]
        (16) typed CpxTrs
        (17) RewriteLemmaProof [LOWER BOUND(ID), 1384 ms]
        (18) typed CpxTrs
(19) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(20) CdtProblem
    (21) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CdtProblem
    (23) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (24) CpxRelTRS
        (25) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTRS
        (27) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (28) CpxWeightedTrs
            (29) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
            (30) CpxTypedWeightedTrs
            (31) CompletionProof [UPPER BOUND(ID), 0 ms]
            (32) CpxTypedWeightedCompleteTrs
                (33) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
                (34) CpxTypedWeightedCompleteTrs
                (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
                (36) CpxRNTS
                (37) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
                (38) CpxRNTS
            (39) CompletionProof [UPPER BOUND(ID), 0 ms]
            (40) CpxTypedWeightedCompleteTrs
                (41) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
                (42) CpxRNTS
    (43) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (44) CdtProblem
        (45) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (48) CdtProblem
        (49) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (52) CdtProblem
        (53) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (56) CdtProblem
        (57) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (58) CdtProblem
        (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (60) CdtProblem
        (61) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (62) CdtProblem
        (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (64) CdtProblem
        (65) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (66) CdtProblem
        (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (68) CdtProblem
        (69) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (70) CdtProblem
        (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (72) CdtProblem
        (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (74) CdtProblem
        (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (76) CdtProblem
        (77) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (78) CdtProblem
        (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (80) CdtProblem
        (81) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (82) CdtProblem
        (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (84) CdtProblem
        (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (86) CdtProblem
        (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (88) CdtProblem
        (89) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (90) CdtProblem
        (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (92) CdtProblem
        (93) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (94) CdtProblem
        (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (96) CdtProblem
        (97) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (98) CdtProblem
        (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (100) CdtProblem
        (101) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (102) CdtProblem
        (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (104) CdtProblem
        (105) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (106) CdtProblem
        (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (108) CdtProblem
        (109) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (110) CdtProblem
        (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (112) CdtProblem
        (113) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (114) CdtProblem
        (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (116) CdtProblem
        (117) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (118) CdtProblem
        (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (120) CdtProblem
        (121) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 5 ms]
        (122) CdtProblem
        (123) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 83 ms]
        (124) CdtProblem
        (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 15 ms]
        (126) CdtProblem
        (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (128) CdtProblem
        (129) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (130) CdtProblem
        (131) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (132) CdtProblem
        (133) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4840 ms]
        (134) CdtProblem
        (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5046 ms]
        (136) CdtProblem
        (137) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 45 ms]
        (138) CdtProblem
        (139) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 145 ms]
        (140) CdtProblem
        (141) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 507 ms]
        (142) CdtProblem
        (143) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 2544 ms]
        (144) CdtProblem
(145) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms]
(146) CpxWeightedTrs
    (147) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (148) CpxTypedWeightedTrs
    (149) CompletionProof [UPPER BOUND(ID), 0 ms]
    (150) CpxTypedWeightedCompleteTrs
        (151) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (152) CpxTypedWeightedCompleteTrs
        (153) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 5 ms]
        (154) CpxRNTS
        (155) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (156) CpxRNTS
    (157) CompletionProof [UPPER BOUND(ID), 0 ms]
    (158) CpxTypedWeightedCompleteTrs
        (159) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (160) CpxRNTS


----------------------------------------

(0)
Obligation:
The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   a__2nd(cons1(X, cons(Y, Z))) -> mark(Y)
   a__2nd(cons(X, X1)) -> a__2nd(cons1(mark(X), mark(X1)))
   a__from(X) -> cons(mark(X), from(s(X)))
   mark(2nd(X)) -> a__2nd(mark(X))
   mark(from(X)) -> a__from(mark(X))
   mark(cons(X1, X2)) -> cons(mark(X1), X2)
   mark(s(X)) -> s(mark(X))
   mark(cons1(X1, X2)) -> cons1(mark(X1), mark(X2))
   a__2nd(X) -> 2nd(X)
   a__from(X) -> from(X)

S is empty.
Rewrite Strategy: PARALLEL_INNERMOST
----------------------------------------

(1) RenamingProof (BOTH BOUNDS(ID, ID))
Renamed function symbols to avoid clashes with predefined symbol.
----------------------------------------

(2)
Obligation:
The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   a__2nd(cons1(X, cons(Y, Z))) -> mark(Y)
   a__2nd(cons(X, X1)) -> a__2nd(cons1(mark(X), mark(X1)))
   a__from(X) -> cons(mark(X), from(s(X)))
   mark(2nd(X)) -> a__2nd(mark(X))
   mark(from(X)) -> a__from(mark(X))
   mark(cons(X1, X2)) -> cons(mark(X1), X2)
   mark(s(X)) -> s(mark(X))
   mark(cons1(X1, X2)) -> cons1(mark(X1), mark(X2))
   a__2nd(X) -> 2nd(X)
   a__from(X) -> from(X)

S is empty.
Rewrite Strategy: PARALLEL_INNERMOST
----------------------------------------

(3) RelTrsToTrsProof (UPPER BOUND(ID))
transformed relative TRS to TRS
----------------------------------------

(4)
Obligation:
The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   a__2nd(cons1(X, cons(Y, Z))) -> mark(Y)
   a__2nd(cons(X, X1)) -> a__2nd(cons1(mark(X), mark(X1)))
   a__from(X) -> cons(mark(X), from(s(X)))
   mark(2nd(X)) -> a__2nd(mark(X))
   mark(from(X)) -> a__from(mark(X))
   mark(cons(X1, X2)) -> cons(mark(X1), X2)
   mark(s(X)) -> s(mark(X))
   mark(cons1(X1, X2)) -> cons1(mark(X1), mark(X2))
   a__2nd(X) -> 2nd(X)
   a__from(X) -> from(X)

S is empty.
Rewrite Strategy: PARALLEL_INNERMOST
----------------------------------------

(5) CpxTrsToCdtProof (UPPER BOUND(ID))
Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT
----------------------------------------

(6)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__2ND(z0) -> c3
   A__FROM(z0) -> c4(MARK(z0))
   A__FROM(z0) -> c5
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__2ND(z0) -> c3
   A__FROM(z0) -> c4(MARK(z0))
   A__FROM(z0) -> c5
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c1_2, c2_2, c3, c4_1, c5, c6_2, c7_2, c8_1, c9_1, c10_1, c11_1


----------------------------------------

(7) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID))
Converted S to standard rules, and D \ S as well as R to relative rules.
----------------------------------------

(8)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__2ND(z0) -> c3
   A__FROM(z0) -> c4(MARK(z0))
   A__FROM(z0) -> c5
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))

The (relative) TRS S consists of the following rules:

   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))

Rewrite Strategy: INNERMOST
----------------------------------------

(9) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID))
Transformed a relative TRS into a decreasing-loop problem.
----------------------------------------

(10)
Obligation:
Analyzing the following TRS for decreasing loops:

The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__2ND(z0) -> c3
   A__FROM(z0) -> c4(MARK(z0))
   A__FROM(z0) -> c5
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))

The (relative) TRS S consists of the following rules:

   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))

Rewrite Strategy: INNERMOST
----------------------------------------

(11) RenamingProof (BOTH BOUNDS(ID, ID))
Renamed function symbols to avoid clashes with predefined symbol.
----------------------------------------

(12)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__2ND(z0) -> c3
   A__FROM(z0) -> c4(MARK(z0))
   A__FROM(z0) -> c5
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))

The (relative) TRS S consists of the following rules:

   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))

Rewrite Strategy: INNERMOST
----------------------------------------

(13) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Inferred types.
----------------------------------------

(14)
Obligation:
Innermost TRS:
Rules:
A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
A__2ND(z0) -> c3
A__FROM(z0) -> c4(MARK(z0))
A__FROM(z0) -> c5
MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(cons(z0, z1)) -> c8(MARK(z0))
MARK(s(z0)) -> c9(MARK(z0))
MARK(cons1(z0, z1)) -> c10(MARK(z0))
MARK(cons1(z0, z1)) -> c11(MARK(z1))
a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
a__2nd(z0) -> 2nd(z0)
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
mark(2nd(z0)) -> a__2nd(mark(z0))
mark(from(z0)) -> a__from(mark(z0))
mark(cons(z0, z1)) -> cons(mark(z0), z1)
mark(s(z0)) -> s(mark(z0))
mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))

Types:
A__2ND :: cons:cons1:2nd:from:s -> c:c1:c2:c3
cons1 :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
cons :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c :: c6:c7:c8:c9:c10:c11 -> c:c1:c2:c3
MARK :: cons:cons1:2nd:from:s -> c6:c7:c8:c9:c10:c11
c1 :: c:c1:c2:c3 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2:c3
mark :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c2 :: c:c1:c2:c3 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2:c3
c3 :: c:c1:c2:c3
A__FROM :: cons:cons1:2nd:from:s -> c4:c5
c4 :: c6:c7:c8:c9:c10:c11 -> c4:c5
c5 :: c4:c5
2nd :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c6 :: c:c1:c2:c3 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
from :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c7 :: c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c8 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
s :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c9 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c10 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c11 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
a__2nd :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
a__from :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
hole_c:c1:c2:c31_12 :: c:c1:c2:c3
hole_cons:cons1:2nd:from:s2_12 :: cons:cons1:2nd:from:s
hole_c6:c7:c8:c9:c10:c113_12 :: c6:c7:c8:c9:c10:c11
hole_c4:c54_12 :: c4:c5
gen_c:c1:c2:c35_12 :: Nat -> c:c1:c2:c3
gen_cons:cons1:2nd:from:s6_12 :: Nat -> cons:cons1:2nd:from:s
gen_c6:c7:c8:c9:c10:c117_12 :: Nat -> c6:c7:c8:c9:c10:c11

----------------------------------------

(15) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
A__2ND, MARK, mark, A__FROM, a__2nd, a__from

They will be analysed ascendingly in the following order:
A__2ND = MARK
mark < A__2ND
A__2ND = A__FROM
mark < MARK
MARK = A__FROM
mark = a__2nd
mark = a__from
a__2nd = a__from

----------------------------------------

(16)
Obligation:
Innermost TRS:
Rules:
A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
A__2ND(z0) -> c3
A__FROM(z0) -> c4(MARK(z0))
A__FROM(z0) -> c5
MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(cons(z0, z1)) -> c8(MARK(z0))
MARK(s(z0)) -> c9(MARK(z0))
MARK(cons1(z0, z1)) -> c10(MARK(z0))
MARK(cons1(z0, z1)) -> c11(MARK(z1))
a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
a__2nd(z0) -> 2nd(z0)
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
mark(2nd(z0)) -> a__2nd(mark(z0))
mark(from(z0)) -> a__from(mark(z0))
mark(cons(z0, z1)) -> cons(mark(z0), z1)
mark(s(z0)) -> s(mark(z0))
mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))

Types:
A__2ND :: cons:cons1:2nd:from:s -> c:c1:c2:c3
cons1 :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
cons :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c :: c6:c7:c8:c9:c10:c11 -> c:c1:c2:c3
MARK :: cons:cons1:2nd:from:s -> c6:c7:c8:c9:c10:c11
c1 :: c:c1:c2:c3 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2:c3
mark :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c2 :: c:c1:c2:c3 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2:c3
c3 :: c:c1:c2:c3
A__FROM :: cons:cons1:2nd:from:s -> c4:c5
c4 :: c6:c7:c8:c9:c10:c11 -> c4:c5
c5 :: c4:c5
2nd :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c6 :: c:c1:c2:c3 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
from :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c7 :: c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c8 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
s :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c9 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c10 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c11 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
a__2nd :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
a__from :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
hole_c:c1:c2:c31_12 :: c:c1:c2:c3
hole_cons:cons1:2nd:from:s2_12 :: cons:cons1:2nd:from:s
hole_c6:c7:c8:c9:c10:c113_12 :: c6:c7:c8:c9:c10:c11
hole_c4:c54_12 :: c4:c5
gen_c:c1:c2:c35_12 :: Nat -> c:c1:c2:c3
gen_cons:cons1:2nd:from:s6_12 :: Nat -> cons:cons1:2nd:from:s
gen_c6:c7:c8:c9:c10:c117_12 :: Nat -> c6:c7:c8:c9:c10:c11


Generator Equations:
gen_c:c1:c2:c35_12(0) <=> c(hole_c6:c7:c8:c9:c10:c113_12)
gen_c:c1:c2:c35_12(+(x, 1)) <=> c1(gen_c:c1:c2:c35_12(x), hole_c6:c7:c8:c9:c10:c113_12)
gen_cons:cons1:2nd:from:s6_12(0) <=> hole_cons:cons1:2nd:from:s2_12
gen_cons:cons1:2nd:from:s6_12(+(x, 1)) <=> cons1(hole_cons:cons1:2nd:from:s2_12, gen_cons:cons1:2nd:from:s6_12(x))
gen_c6:c7:c8:c9:c10:c117_12(0) <=> hole_c6:c7:c8:c9:c10:c113_12
gen_c6:c7:c8:c9:c10:c117_12(+(x, 1)) <=> c6(c(hole_c6:c7:c8:c9:c10:c113_12), gen_c6:c7:c8:c9:c10:c117_12(x))


The following defined symbols remain to be analysed:
a__2nd, A__2ND, MARK, mark, A__FROM, a__from

They will be analysed ascendingly in the following order:
A__2ND = MARK
mark < A__2ND
A__2ND = A__FROM
mark < MARK
MARK = A__FROM
mark = a__2nd
mark = a__from
a__2nd = a__from

----------------------------------------

(17) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
mark(gen_cons:cons1:2nd:from:s6_12(+(1, n25_12))) -> *8_12, rt in Omega(0)

Induction Base:
mark(gen_cons:cons1:2nd:from:s6_12(+(1, 0)))

Induction Step:
mark(gen_cons:cons1:2nd:from:s6_12(+(1, +(n25_12, 1)))) ->_R^Omega(0)
cons1(mark(hole_cons:cons1:2nd:from:s2_12), mark(gen_cons:cons1:2nd:from:s6_12(+(1, n25_12)))) ->_IH
cons1(mark(hole_cons:cons1:2nd:from:s2_12), *8_12)

We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0).
----------------------------------------

(18)
Obligation:
Innermost TRS:
Rules:
A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
A__2ND(z0) -> c3
A__FROM(z0) -> c4(MARK(z0))
A__FROM(z0) -> c5
MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(cons(z0, z1)) -> c8(MARK(z0))
MARK(s(z0)) -> c9(MARK(z0))
MARK(cons1(z0, z1)) -> c10(MARK(z0))
MARK(cons1(z0, z1)) -> c11(MARK(z1))
a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
a__2nd(z0) -> 2nd(z0)
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
mark(2nd(z0)) -> a__2nd(mark(z0))
mark(from(z0)) -> a__from(mark(z0))
mark(cons(z0, z1)) -> cons(mark(z0), z1)
mark(s(z0)) -> s(mark(z0))
mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))

Types:
A__2ND :: cons:cons1:2nd:from:s -> c:c1:c2:c3
cons1 :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
cons :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c :: c6:c7:c8:c9:c10:c11 -> c:c1:c2:c3
MARK :: cons:cons1:2nd:from:s -> c6:c7:c8:c9:c10:c11
c1 :: c:c1:c2:c3 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2:c3
mark :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c2 :: c:c1:c2:c3 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2:c3
c3 :: c:c1:c2:c3
A__FROM :: cons:cons1:2nd:from:s -> c4:c5
c4 :: c6:c7:c8:c9:c10:c11 -> c4:c5
c5 :: c4:c5
2nd :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c6 :: c:c1:c2:c3 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
from :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c7 :: c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c8 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
s :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c9 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c10 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c11 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
a__2nd :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
a__from :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
hole_c:c1:c2:c31_12 :: c:c1:c2:c3
hole_cons:cons1:2nd:from:s2_12 :: cons:cons1:2nd:from:s
hole_c6:c7:c8:c9:c10:c113_12 :: c6:c7:c8:c9:c10:c11
hole_c4:c54_12 :: c4:c5
gen_c:c1:c2:c35_12 :: Nat -> c:c1:c2:c3
gen_cons:cons1:2nd:from:s6_12 :: Nat -> cons:cons1:2nd:from:s
gen_c6:c7:c8:c9:c10:c117_12 :: Nat -> c6:c7:c8:c9:c10:c11


Lemmas:
mark(gen_cons:cons1:2nd:from:s6_12(+(1, n25_12))) -> *8_12, rt in Omega(0)


Generator Equations:
gen_c:c1:c2:c35_12(0) <=> c(hole_c6:c7:c8:c9:c10:c113_12)
gen_c:c1:c2:c35_12(+(x, 1)) <=> c1(gen_c:c1:c2:c35_12(x), hole_c6:c7:c8:c9:c10:c113_12)
gen_cons:cons1:2nd:from:s6_12(0) <=> hole_cons:cons1:2nd:from:s2_12
gen_cons:cons1:2nd:from:s6_12(+(x, 1)) <=> cons1(hole_cons:cons1:2nd:from:s2_12, gen_cons:cons1:2nd:from:s6_12(x))
gen_c6:c7:c8:c9:c10:c117_12(0) <=> hole_c6:c7:c8:c9:c10:c113_12
gen_c6:c7:c8:c9:c10:c117_12(+(x, 1)) <=> c6(c(hole_c6:c7:c8:c9:c10:c113_12), gen_c6:c7:c8:c9:c10:c117_12(x))


The following defined symbols remain to be analysed:
a__from, A__2ND, MARK, A__FROM, a__2nd

They will be analysed ascendingly in the following order:
A__2ND = MARK
mark < A__2ND
A__2ND = A__FROM
mark < MARK
MARK = A__FROM
mark = a__2nd
mark = a__from
a__2nd = a__from

----------------------------------------

(19) CpxTrsToCdtProof (UPPER BOUND(ID))
Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT
----------------------------------------

(20)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__2ND(z0) -> c3
   A__FROM(z0) -> c4(MARK(z0))
   A__FROM(z0) -> c5
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__2ND(z0) -> c3
   A__FROM(z0) -> c4(MARK(z0))
   A__FROM(z0) -> c5
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c1_2, c2_2, c3, c4_1, c5, c6_2, c7_2, c8_1, c9_1, c10_1, c11_1


----------------------------------------

(21) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   A__FROM(z0) -> c5
   A__2ND(z0) -> c3

----------------------------------------

(22)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c1_2, c2_2, c4_1, c6_2, c7_2, c8_1, c9_1, c10_1, c11_1


----------------------------------------

(23) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID))
Converted S to standard rules, and D \ S as well as R to relative rules.
----------------------------------------

(24)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))

The (relative) TRS S consists of the following rules:

   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))

Rewrite Strategy: INNERMOST
----------------------------------------

(25) RelTrsToTrsProof (UPPER BOUND(ID))
transformed relative TRS to TRS
----------------------------------------

(26)
Obligation:
The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))

S is empty.
Rewrite Strategy: INNERMOST
----------------------------------------

(27) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID))
Transformed relative TRS to weighted TRS
----------------------------------------

(28)
Obligation:
The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1)) [1]
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0)) [1]
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1)) [1]
   A__FROM(z0) -> c4(MARK(z0)) [1]
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(cons(z0, z1)) -> c8(MARK(z0)) [1]
   MARK(s(z0)) -> c9(MARK(z0)) [1]
   MARK(cons1(z0, z1)) -> c10(MARK(z0)) [1]
   MARK(cons1(z0, z1)) -> c11(MARK(z1)) [1]
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1) [0]
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1))) [0]
   a__2nd(z0) -> 2nd(z0) [0]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   mark(2nd(z0)) -> a__2nd(mark(z0)) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1)) [0]

Rewrite Strategy: INNERMOST
----------------------------------------

(29) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Infered types.
----------------------------------------

(30)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1)) [1]
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0)) [1]
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1)) [1]
   A__FROM(z0) -> c4(MARK(z0)) [1]
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(cons(z0, z1)) -> c8(MARK(z0)) [1]
   MARK(s(z0)) -> c9(MARK(z0)) [1]
   MARK(cons1(z0, z1)) -> c10(MARK(z0)) [1]
   MARK(cons1(z0, z1)) -> c11(MARK(z1)) [1]
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1) [0]
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1))) [0]
   a__2nd(z0) -> 2nd(z0) [0]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   mark(2nd(z0)) -> a__2nd(mark(z0)) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1)) [0]

The TRS has the following type information:
A__2ND :: cons:cons1:2nd:from:s -> c:c1:c2
cons1 :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
cons :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c :: c6:c7:c8:c9:c10:c11 -> c:c1:c2
MARK :: cons:cons1:2nd:from:s -> c6:c7:c8:c9:c10:c11
c1 :: c:c1:c2 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2
mark :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c2 :: c:c1:c2 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2
A__FROM :: cons:cons1:2nd:from:s -> c4
c4 :: c6:c7:c8:c9:c10:c11 -> c4
2nd :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c6 :: c:c1:c2 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
from :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c7 :: c4 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c8 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
s :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
c9 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c10 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c11 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
a__2nd :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s
a__from :: cons:cons1:2nd:from:s -> cons:cons1:2nd:from:s

Rewrite Strategy: INNERMOST
----------------------------------------

(31) CompletionProof (UPPER BOUND(ID))
The transformation into a RNTS is sound, since:

(a) The obligation is a constructor system where every type has a constant constructor,

(b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols:

   A__2ND_1
   A__FROM_1
   MARK_1

(c) The following functions are completely defined:

   a__2nd_1
   a__from_1
   mark_1

Due to the following rules being added:

   a__2nd(v0) -> const1 [0]
   a__from(v0) -> const1 [0]
   mark(v0) -> const1 [0]

And the following fresh constants:    const1, const, const2, const3

----------------------------------------

(32)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1)) [1]
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0)) [1]
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1)) [1]
   A__FROM(z0) -> c4(MARK(z0)) [1]
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(cons(z0, z1)) -> c8(MARK(z0)) [1]
   MARK(s(z0)) -> c9(MARK(z0)) [1]
   MARK(cons1(z0, z1)) -> c10(MARK(z0)) [1]
   MARK(cons1(z0, z1)) -> c11(MARK(z1)) [1]
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1) [0]
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1))) [0]
   a__2nd(z0) -> 2nd(z0) [0]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   mark(2nd(z0)) -> a__2nd(mark(z0)) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1)) [0]
   a__2nd(v0) -> const1 [0]
   a__from(v0) -> const1 [0]
   mark(v0) -> const1 [0]

The TRS has the following type information:
A__2ND :: cons:cons1:2nd:from:s:const1 -> c:c1:c2
cons1 :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
cons :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
c :: c6:c7:c8:c9:c10:c11 -> c:c1:c2
MARK :: cons:cons1:2nd:from:s:const1 -> c6:c7:c8:c9:c10:c11
c1 :: c:c1:c2 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2
mark :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
c2 :: c:c1:c2 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2
A__FROM :: cons:cons1:2nd:from:s:const1 -> c4
c4 :: c6:c7:c8:c9:c10:c11 -> c4
2nd :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
c6 :: c:c1:c2 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
from :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
c7 :: c4 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c8 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
s :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
c9 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c10 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c11 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
a__2nd :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
a__from :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
const1 :: cons:cons1:2nd:from:s:const1
const :: c:c1:c2
const2 :: c6:c7:c8:c9:c10:c11
const3 :: c4

Rewrite Strategy: INNERMOST
----------------------------------------

(33) NarrowingProof (BOTH BOUNDS(ID, ID))
Narrowed the inner basic terms of all right-hand sides by a single narrowing step.
----------------------------------------

(34)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1)) [1]
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0)) [1]
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1)) [1]
   A__FROM(z0) -> c4(MARK(z0)) [1]
   MARK(2nd(2nd(z069))) -> c6(A__2ND(a__2nd(mark(z069))), MARK(2nd(z069))) [1]
   MARK(2nd(from(z070))) -> c6(A__2ND(a__from(mark(z070))), MARK(from(z070))) [1]
   MARK(2nd(cons(z071, z127))) -> c6(A__2ND(cons(mark(z071), z127)), MARK(cons(z071, z127))) [1]
   MARK(2nd(s(z072))) -> c6(A__2ND(s(mark(z072))), MARK(s(z072))) [1]
   MARK(2nd(cons1(z073, z128))) -> c6(A__2ND(cons1(mark(z073), mark(z128))), MARK(cons1(z073, z128))) [1]
   MARK(2nd(z0)) -> c6(A__2ND(const1), MARK(z0)) [1]
   MARK(from(2nd(z074))) -> c7(A__FROM(a__2nd(mark(z074))), MARK(2nd(z074))) [1]
   MARK(from(from(z075))) -> c7(A__FROM(a__from(mark(z075))), MARK(from(z075))) [1]
   MARK(from(cons(z076, z129))) -> c7(A__FROM(cons(mark(z076), z129)), MARK(cons(z076, z129))) [1]
   MARK(from(s(z077))) -> c7(A__FROM(s(mark(z077))), MARK(s(z077))) [1]
   MARK(from(cons1(z078, z130))) -> c7(A__FROM(cons1(mark(z078), mark(z130))), MARK(cons1(z078, z130))) [1]
   MARK(from(z0)) -> c7(A__FROM(const1), MARK(z0)) [1]
   MARK(cons(z0, z1)) -> c8(MARK(z0)) [1]
   MARK(s(z0)) -> c9(MARK(z0)) [1]
   MARK(cons1(z0, z1)) -> c10(MARK(z0)) [1]
   MARK(cons1(z0, z1)) -> c11(MARK(z1)) [1]
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1) [0]
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1))) [0]
   a__2nd(z0) -> 2nd(z0) [0]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   mark(2nd(2nd(z0114))) -> a__2nd(a__2nd(mark(z0114))) [0]
   mark(2nd(from(z0115))) -> a__2nd(a__from(mark(z0115))) [0]
   mark(2nd(cons(z0116, z145))) -> a__2nd(cons(mark(z0116), z145)) [0]
   mark(2nd(s(z0117))) -> a__2nd(s(mark(z0117))) [0]
   mark(2nd(cons1(z0118, z146))) -> a__2nd(cons1(mark(z0118), mark(z146))) [0]
   mark(2nd(z0)) -> a__2nd(const1) [0]
   mark(from(2nd(z0119))) -> a__from(a__2nd(mark(z0119))) [0]
   mark(from(from(z0120))) -> a__from(a__from(mark(z0120))) [0]
   mark(from(cons(z0121, z147))) -> a__from(cons(mark(z0121), z147)) [0]
   mark(from(s(z0122))) -> a__from(s(mark(z0122))) [0]
   mark(from(cons1(z0123, z148))) -> a__from(cons1(mark(z0123), mark(z148))) [0]
   mark(from(z0)) -> a__from(const1) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1)) [0]
   a__2nd(v0) -> const1 [0]
   a__from(v0) -> const1 [0]
   mark(v0) -> const1 [0]

The TRS has the following type information:
A__2ND :: cons:cons1:2nd:from:s:const1 -> c:c1:c2
cons1 :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
cons :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
c :: c6:c7:c8:c9:c10:c11 -> c:c1:c2
MARK :: cons:cons1:2nd:from:s:const1 -> c6:c7:c8:c9:c10:c11
c1 :: c:c1:c2 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2
mark :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
c2 :: c:c1:c2 -> c6:c7:c8:c9:c10:c11 -> c:c1:c2
A__FROM :: cons:cons1:2nd:from:s:const1 -> c4
c4 :: c6:c7:c8:c9:c10:c11 -> c4
2nd :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
c6 :: c:c1:c2 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
from :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
c7 :: c4 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c8 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
s :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
c9 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c10 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
c11 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11
a__2nd :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
a__from :: cons:cons1:2nd:from:s:const1 -> cons:cons1:2nd:from:s:const1
const1 :: cons:cons1:2nd:from:s:const1
const :: c:c1:c2
const2 :: c6:c7:c8:c9:c10:c11
const3 :: c4

Rewrite Strategy: INNERMOST
----------------------------------------

(35) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   const1 => 0
   const => 0
   const2 => 0
   const3 => 0

----------------------------------------

(36)
Obligation:
Complexity RNTS consisting of the following rules:

   A__2ND(z) -{ 1 }-> 1 + MARK(z1) :|: z1 >= 0, z = 1 + z0 + (1 + z1 + z2), z0 >= 0, z2 >= 0
   A__2ND(z) -{ 1 }-> 1 + A__2ND(1 + mark(z0) + mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   A__2ND(z) -{ 1 }-> 1 + A__2ND(1 + mark(z0) + mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   A__FROM(z) -{ 1 }-> 1 + MARK(z0) :|: z = z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + A__FROM(a__from(mark(z075))) + MARK(1 + z075) :|: z = 1 + (1 + z075), z075 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(a__2nd(mark(z074))) + MARK(1 + z074) :|: z = 1 + (1 + z074), z074 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(0) + MARK(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z077)) + MARK(1 + z077) :|: z = 1 + (1 + z077), z077 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z076) + z129) + MARK(1 + z076 + z129) :|: z129 >= 0, z076 >= 0, z = 1 + (1 + z076 + z129)
   MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z078) + mark(z130)) + MARK(1 + z078 + z130) :|: z130 >= 0, z = 1 + (1 + z078 + z130), z078 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(a__from(mark(z070))) + MARK(1 + z070) :|: z = 1 + (1 + z070), z070 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(a__2nd(mark(z069))) + MARK(1 + z069) :|: z = 1 + (1 + z069), z069 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(0) + MARK(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(1 + mark(z072)) + MARK(1 + z072) :|: z072 >= 0, z = 1 + (1 + z072)
   MARK(z) -{ 1 }-> 1 + A__2ND(1 + mark(z071) + z127) + MARK(1 + z071 + z127) :|: z = 1 + (1 + z071 + z127), z071 >= 0, z127 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(1 + mark(z073) + mark(z128)) + MARK(1 + z073 + z128) :|: z128 >= 0, z073 >= 0, z = 1 + (1 + z073 + z128)
   a__2nd(z) -{ 0 }-> mark(z1) :|: z1 >= 0, z = 1 + z0 + (1 + z1 + z2), z0 >= 0, z2 >= 0
   a__2nd(z) -{ 0 }-> a__2nd(1 + mark(z0) + mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   a__2nd(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a__2nd(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0
   a__from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a__from(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0
   a__from(z) -{ 0 }-> 1 + mark(z0) + (1 + (1 + z0)) :|: z = z0, z0 >= 0
   mark(z) -{ 0 }-> a__from(a__from(mark(z0120))) :|: z0120 >= 0, z = 1 + (1 + z0120)
   mark(z) -{ 0 }-> a__from(a__2nd(mark(z0119))) :|: z0119 >= 0, z = 1 + (1 + z0119)
   mark(z) -{ 0 }-> a__from(0) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> a__from(1 + mark(z0122)) :|: z = 1 + (1 + z0122), z0122 >= 0
   mark(z) -{ 0 }-> a__from(1 + mark(z0121) + z147) :|: z0121 >= 0, z147 >= 0, z = 1 + (1 + z0121 + z147)
   mark(z) -{ 0 }-> a__from(1 + mark(z0123) + mark(z148)) :|: z = 1 + (1 + z0123 + z148), z148 >= 0, z0123 >= 0
   mark(z) -{ 0 }-> a__2nd(a__from(mark(z0115))) :|: z0115 >= 0, z = 1 + (1 + z0115)
   mark(z) -{ 0 }-> a__2nd(a__2nd(mark(z0114))) :|: z = 1 + (1 + z0114), z0114 >= 0
   mark(z) -{ 0 }-> a__2nd(0) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> a__2nd(1 + mark(z0117)) :|: z = 1 + (1 + z0117), z0117 >= 0
   mark(z) -{ 0 }-> a__2nd(1 + mark(z0116) + z145) :|: z = 1 + (1 + z0116 + z145), z145 >= 0, z0116 >= 0
   mark(z) -{ 0 }-> a__2nd(1 + mark(z0118) + mark(z146)) :|: z0118 >= 0, z = 1 + (1 + z0118 + z146), z146 >= 0
   mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   mark(z) -{ 0 }-> 1 + mark(z0) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   mark(z) -{ 0 }-> 1 + mark(z0) + mark(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1


----------------------------------------

(37) SimplificationProof (BOTH BOUNDS(ID, ID))
Simplified the RNTS by moving equalities from the constraints into the right-hand sides.
----------------------------------------

(38)
Obligation:
Complexity RNTS consisting of the following rules:

   A__2ND(z) -{ 1 }-> 1 + MARK(z1) :|: z1 >= 0, z = 1 + z0 + (1 + z1 + z2), z0 >= 0, z2 >= 0
   A__2ND(z) -{ 1 }-> 1 + A__2ND(1 + mark(z0) + mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   A__2ND(z) -{ 1 }-> 1 + A__2ND(1 + mark(z0) + mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   A__FROM(z) -{ 1 }-> 1 + MARK(z) :|: z >= 0
   MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + MARK(z - 1) :|: z - 1 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(a__from(mark(z - 2))) + MARK(1 + (z - 2)) :|: z - 2 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(a__2nd(mark(z - 2))) + MARK(1 + (z - 2)) :|: z - 2 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(0) + MARK(z - 1) :|: z - 1 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z - 2)) + MARK(1 + (z - 2)) :|: z - 2 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z076) + z129) + MARK(1 + z076 + z129) :|: z129 >= 0, z076 >= 0, z = 1 + (1 + z076 + z129)
   MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z078) + mark(z130)) + MARK(1 + z078 + z130) :|: z130 >= 0, z = 1 + (1 + z078 + z130), z078 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(a__from(mark(z - 2))) + MARK(1 + (z - 2)) :|: z - 2 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(a__2nd(mark(z - 2))) + MARK(1 + (z - 2)) :|: z - 2 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(0) + MARK(z - 1) :|: z - 1 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(1 + mark(z - 2)) + MARK(1 + (z - 2)) :|: z - 2 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(1 + mark(z071) + z127) + MARK(1 + z071 + z127) :|: z = 1 + (1 + z071 + z127), z071 >= 0, z127 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(1 + mark(z073) + mark(z128)) + MARK(1 + z073 + z128) :|: z128 >= 0, z073 >= 0, z = 1 + (1 + z073 + z128)
   a__2nd(z) -{ 0 }-> mark(z1) :|: z1 >= 0, z = 1 + z0 + (1 + z1 + z2), z0 >= 0, z2 >= 0
   a__2nd(z) -{ 0 }-> a__2nd(1 + mark(z0) + mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   a__2nd(z) -{ 0 }-> 0 :|: z >= 0
   a__2nd(z) -{ 0 }-> 1 + z :|: z >= 0
   a__from(z) -{ 0 }-> 0 :|: z >= 0
   a__from(z) -{ 0 }-> 1 + z :|: z >= 0
   a__from(z) -{ 0 }-> 1 + mark(z) + (1 + (1 + z)) :|: z >= 0
   mark(z) -{ 0 }-> a__from(a__from(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 0 }-> a__from(a__2nd(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 0 }-> a__from(0) :|: z - 1 >= 0
   mark(z) -{ 0 }-> a__from(1 + mark(z - 2)) :|: z - 2 >= 0
   mark(z) -{ 0 }-> a__from(1 + mark(z0121) + z147) :|: z0121 >= 0, z147 >= 0, z = 1 + (1 + z0121 + z147)
   mark(z) -{ 0 }-> a__from(1 + mark(z0123) + mark(z148)) :|: z = 1 + (1 + z0123 + z148), z148 >= 0, z0123 >= 0
   mark(z) -{ 0 }-> a__2nd(a__from(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 0 }-> a__2nd(a__2nd(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 0 }-> a__2nd(0) :|: z - 1 >= 0
   mark(z) -{ 0 }-> a__2nd(1 + mark(z - 2)) :|: z - 2 >= 0
   mark(z) -{ 0 }-> a__2nd(1 + mark(z0116) + z145) :|: z = 1 + (1 + z0116 + z145), z145 >= 0, z0116 >= 0
   mark(z) -{ 0 }-> a__2nd(1 + mark(z0118) + mark(z146)) :|: z0118 >= 0, z = 1 + (1 + z0118 + z146), z146 >= 0
   mark(z) -{ 0 }-> 0 :|: z >= 0
   mark(z) -{ 0 }-> 1 + mark(z - 1) :|: z - 1 >= 0
   mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   mark(z) -{ 0 }-> 1 + mark(z0) + mark(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1


----------------------------------------

(39) CompletionProof (UPPER BOUND(ID))
The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added:

   a__2nd(v0) -> null_a__2nd [0]
   a__from(v0) -> null_a__from [0]
   mark(v0) -> null_mark [0]
   A__2ND(v0) -> null_A__2ND [0]
   MARK(v0) -> null_MARK [0]

And the following fresh constants:    null_a__2nd, null_a__from, null_mark, null_A__2ND, null_MARK, const

----------------------------------------

(40)
Obligation:
Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1)) [1]
   A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0)) [1]
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1)) [1]
   A__FROM(z0) -> c4(MARK(z0)) [1]
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(cons(z0, z1)) -> c8(MARK(z0)) [1]
   MARK(s(z0)) -> c9(MARK(z0)) [1]
   MARK(cons1(z0, z1)) -> c10(MARK(z0)) [1]
   MARK(cons1(z0, z1)) -> c11(MARK(z1)) [1]
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1) [0]
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1))) [0]
   a__2nd(z0) -> 2nd(z0) [0]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   mark(2nd(z0)) -> a__2nd(mark(z0)) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1)) [0]
   a__2nd(v0) -> null_a__2nd [0]
   a__from(v0) -> null_a__from [0]
   mark(v0) -> null_mark [0]
   A__2ND(v0) -> null_A__2ND [0]
   MARK(v0) -> null_MARK [0]

The TRS has the following type information:
A__2ND :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> c:c1:c2:null_A__2ND
cons1 :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark
cons :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark
c :: c6:c7:c8:c9:c10:c11:null_MARK -> c:c1:c2:null_A__2ND
MARK :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> c6:c7:c8:c9:c10:c11:null_MARK
c1 :: c:c1:c2:null_A__2ND -> c6:c7:c8:c9:c10:c11:null_MARK -> c:c1:c2:null_A__2ND
mark :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark
c2 :: c:c1:c2:null_A__2ND -> c6:c7:c8:c9:c10:c11:null_MARK -> c:c1:c2:null_A__2ND
A__FROM :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> c4
c4 :: c6:c7:c8:c9:c10:c11:null_MARK -> c4
2nd :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark
c6 :: c:c1:c2:null_A__2ND -> c6:c7:c8:c9:c10:c11:null_MARK -> c6:c7:c8:c9:c10:c11:null_MARK
from :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark
c7 :: c4 -> c6:c7:c8:c9:c10:c11:null_MARK -> c6:c7:c8:c9:c10:c11:null_MARK
c8 :: c6:c7:c8:c9:c10:c11:null_MARK -> c6:c7:c8:c9:c10:c11:null_MARK
s :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark
c9 :: c6:c7:c8:c9:c10:c11:null_MARK -> c6:c7:c8:c9:c10:c11:null_MARK
c10 :: c6:c7:c8:c9:c10:c11:null_MARK -> c6:c7:c8:c9:c10:c11:null_MARK
c11 :: c6:c7:c8:c9:c10:c11:null_MARK -> c6:c7:c8:c9:c10:c11:null_MARK
a__2nd :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark
a__from :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark -> cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark
null_a__2nd :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark
null_a__from :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark
null_mark :: cons:cons1:2nd:from:s:null_a__2nd:null_a__from:null_mark
null_A__2ND :: c:c1:c2:null_A__2ND
null_MARK :: c6:c7:c8:c9:c10:c11:null_MARK
const :: c4

Rewrite Strategy: INNERMOST
----------------------------------------

(41) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   null_a__2nd => 0
   null_a__from => 0
   null_mark => 0
   null_A__2ND => 0
   null_MARK => 0
   const => 0

----------------------------------------

(42)
Obligation:
Complexity RNTS consisting of the following rules:

   A__2ND(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   A__2ND(z) -{ 1 }-> 1 + MARK(z1) :|: z1 >= 0, z = 1 + z0 + (1 + z1 + z2), z0 >= 0, z2 >= 0
   A__2ND(z) -{ 1 }-> 1 + A__2ND(1 + mark(z0) + mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   A__2ND(z) -{ 1 }-> 1 + A__2ND(1 + mark(z0) + mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   A__FROM(z) -{ 1 }-> 1 + MARK(z0) :|: z = z0, z0 >= 0
   MARK(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + A__FROM(mark(z0)) + MARK(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + A__2ND(mark(z0)) + MARK(z0) :|: z = 1 + z0, z0 >= 0
   a__2nd(z) -{ 0 }-> mark(z1) :|: z1 >= 0, z = 1 + z0 + (1 + z1 + z2), z0 >= 0, z2 >= 0
   a__2nd(z) -{ 0 }-> a__2nd(1 + mark(z0) + mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   a__2nd(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a__2nd(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0
   a__from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a__from(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0
   a__from(z) -{ 0 }-> 1 + mark(z0) + (1 + (1 + z0)) :|: z = z0, z0 >= 0
   mark(z) -{ 0 }-> a__from(mark(z0)) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> a__2nd(mark(z0)) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   mark(z) -{ 0 }-> 1 + mark(z0) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   mark(z) -{ 0 }-> 1 + mark(z0) + mark(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1

Only complete derivations are relevant for the runtime complexity.

----------------------------------------

(43) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(z0, z1)) -> c1(A__2ND(cons1(mark(z0), mark(z1))), MARK(z0)) by 
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(A__2ND(cons1(mark(x0), s(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons1(mark(z0), mark(z1)))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))

----------------------------------------

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(A__2ND(cons1(mark(x0), s(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons1(mark(z0), mark(z1)))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(A__2ND(cons1(mark(x0), s(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons1(mark(z0), mark(z1)))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c2_2, c4_1, c6_2, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2


----------------------------------------

(45) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c2_2, c4_1, c6_2, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1


----------------------------------------

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(z0, z1)) -> c2(A__2ND(cons1(mark(z0), mark(z1))), MARK(z1)) by 
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(A__2ND(cons1(mark(x0), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))

----------------------------------------

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(A__2ND(cons1(mark(x0), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(A__2ND(cons1(mark(x0), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c6_2, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2


----------------------------------------

(49) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c6_2, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1


----------------------------------------

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(2nd(z0)) -> c6(A__2ND(mark(z0)), MARK(z0)) by 
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(A__2ND(s(mark(z0))), MARK(s(z0)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))

----------------------------------------

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(A__2ND(s(mark(z0))), MARK(s(z0)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(A__2ND(s(mark(z0))), MARK(s(z0)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2


----------------------------------------

(53) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(x0, 2nd(z0))) -> c1(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(x0)) by 
   A__2ND(cons(x0, 2nd(x1))) -> c1(A__2ND(cons1(mark(x0), 2nd(mark(x1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))

----------------------------------------

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(A__2ND(cons1(mark(x0), 2nd(mark(x1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(A__2ND(cons1(mark(x0), 2nd(mark(x1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(57) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(x0, from(z0))) -> c1(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(x0)) by 
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), from(mark(x1)))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))

----------------------------------------

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), from(mark(x1)))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), from(mark(x1)))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(61) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(2nd(z0), x1)) -> c1(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(2nd(z0))) by 
   A__2ND(cons(2nd(x0), 2nd(z0))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), a__2nd(mark(z0)))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), from(z0))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), a__from(mark(z0)))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), s(mark(z0)))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))

----------------------------------------

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), s(mark(z0)))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), s(mark(z0)))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(65) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(67) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(from(z0), x1)) -> c1(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(from(z0))) by 
   A__2ND(cons(from(x0), 2nd(z0))) -> c1(A__2ND(cons1(a__from(mark(x0)), a__2nd(mark(z0)))), MARK(from(x0)))
   A__2ND(cons(from(x0), from(z0))) -> c1(A__2ND(cons1(a__from(mark(x0)), a__from(mark(z0)))), MARK(from(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(A__2ND(cons1(a__from(mark(x0)), s(mark(z0)))), MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))

----------------------------------------

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(A__2ND(cons1(a__from(mark(x0)), s(mark(z0)))), MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(A__2ND(cons1(a__from(mark(x0)), s(mark(z0)))), MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(69) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(71) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(cons(z0, z1), x1)) -> c1(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons(z0, z1))) by 
   A__2ND(cons(cons(x0, x1), 2nd(z0))) -> c1(A__2ND(cons1(cons(mark(x0), x1), a__2nd(mark(z0)))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), from(z0))) -> c1(A__2ND(cons1(cons(mark(x0), x1), a__from(mark(z0)))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(A__2ND(cons1(cons(mark(x0), x1), s(mark(z0)))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons1(mark(z0), mark(z1)))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))

----------------------------------------

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(A__2ND(cons1(cons(mark(x0), x1), s(mark(z0)))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons1(mark(z0), mark(z1)))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(A__2ND(cons1(cons(mark(x0), x1), s(mark(z0)))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons1(mark(z0), mark(z1)))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(73) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(75) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(s(z0), x1)) -> c1(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(s(z0))) by 
   A__2ND(cons(s(x0), 2nd(z0))) -> c1(A__2ND(cons1(s(mark(x0)), a__2nd(mark(z0)))), MARK(s(x0)))
   A__2ND(cons(s(x0), from(z0))) -> c1(A__2ND(cons1(s(mark(x0)), a__from(mark(z0)))), MARK(s(x0)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(A__2ND(cons1(s(mark(x0)), s(mark(z0)))), MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))

----------------------------------------

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(A__2ND(cons1(s(mark(x0)), s(mark(z0)))), MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(A__2ND(cons1(s(mark(x0)), s(mark(z0)))), MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(77) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(79) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(cons1(z0, z1), x1)) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(z0, z1))) by 
   A__2ND(cons(cons1(x0, x1), 2nd(z0))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), a__2nd(mark(z0)))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), from(z0))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), a__from(mark(z0)))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), s(mark(z0)))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons1(mark(z0), mark(z1)))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))

----------------------------------------

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), s(mark(z0)))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons1(mark(z0), mark(z1)))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), s(mark(z0)))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons1(mark(z0), mark(z1)))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(81) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(83) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(x0, 2nd(z0))) -> c2(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(2nd(z0))) by 
   A__2ND(cons(x0, 2nd(x1))) -> c2(A__2ND(cons1(mark(x0), 2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))

----------------------------------------

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(A__2ND(cons1(mark(x0), 2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(A__2ND(cons1(mark(x0), 2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(85) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(x0, from(z0))) -> c2(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(from(z0))) by 
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))

----------------------------------------

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(89) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(91) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(2nd(z0), x1)) -> c2(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(x1)) by 
   A__2ND(cons(2nd(x0), 2nd(z0))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(2nd(x0), from(z0))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))

----------------------------------------

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(93) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(95) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(from(z0), x1)) -> c2(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(x1)) by 
   A__2ND(cons(from(x0), 2nd(z0))) -> c2(A__2ND(cons1(a__from(mark(x0)), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(from(x0), from(z0))) -> c2(A__2ND(cons1(a__from(mark(x0)), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), s(z0))) -> c2(A__2ND(cons1(a__from(mark(x0)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))

----------------------------------------

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), s(z0))) -> c2(A__2ND(cons1(a__from(mark(x0)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), s(z0))) -> c2(A__2ND(cons1(a__from(mark(x0)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(97) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(99) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(cons(z0, z1), x1)) -> c2(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(x1)) by 
   A__2ND(cons(cons(x0, x1), 2nd(z0))) -> c2(A__2ND(cons1(cons(mark(x0), x1), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(cons(x0, x1), from(z0))) -> c2(A__2ND(cons1(cons(mark(x0), x1), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(A__2ND(cons1(cons(mark(x0), x1), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))

----------------------------------------

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(A__2ND(cons1(cons(mark(x0), x1), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(A__2ND(cons1(cons(mark(x0), x1), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(101) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(103) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(s(z0), x1)) -> c2(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(x1)) by 
   A__2ND(cons(s(x0), 2nd(z0))) -> c2(A__2ND(cons1(s(mark(x0)), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(s(x0), from(z0))) -> c2(A__2ND(cons1(s(mark(x0)), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(x0), s(z0))) -> c2(A__2ND(cons1(s(mark(x0)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))

----------------------------------------

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(x0), s(z0))) -> c2(A__2ND(cons1(s(mark(x0)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(x0), s(z0))) -> c2(A__2ND(cons1(s(mark(x0)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(105) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(107) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(cons1(z0, z1), x1)) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(x1)) by 
   A__2ND(cons(cons1(x0, x1), 2nd(z0))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), a__2nd(mark(z0)))), MARK(2nd(z0)))
   A__2ND(cons(cons1(x0, x1), from(z0))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), a__from(mark(z0)))), MARK(from(z0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))

----------------------------------------

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), s(mark(z0)))), MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons1(mark(z0), mark(z1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(109) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(111) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(2nd(2nd(z0))) -> c6(A__2ND(a__2nd(mark(z0))), MARK(2nd(z0))) by 
   MARK(2nd(2nd(x0))) -> c6(A__2ND(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))

----------------------------------------

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(x0))) -> c6(A__2ND(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
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   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(x0))) -> c6(A__2ND(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(113) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(115) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(2nd(from(z0))) -> c6(A__2ND(a__from(mark(z0))), MARK(from(z0))) by 
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(from(mark(x0))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))

----------------------------------------

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(from(mark(x0))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
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   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
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   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
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   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
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   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
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   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
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   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
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   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
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   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
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   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
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   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(from(mark(x0))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(117) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(119) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(2nd(cons1(z0, z1))) -> c6(A__2ND(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1))) by 
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(A__2ND(cons1(mark(x0), s(mark(z0)))), MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons1(mark(z0), mark(z1)))), MARK(cons1(x0, cons1(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))

----------------------------------------

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(A__2ND(cons1(mark(x0), s(mark(z0)))), MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons1(mark(z0), mark(z1)))), MARK(cons1(x0, cons1(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
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   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
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   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
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   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
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   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
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   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(A__2ND(cons1(mark(x0), s(mark(z0)))), MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons1(mark(z0), mark(z1)))), MARK(cons1(x0, cons1(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(121) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
S tuples:
   A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1))
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, A__FROM_1, MARK_1

Compound Symbols:   c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1


----------------------------------------

(123) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__2ND(cons1(z0, cons(z1, z2))) -> c(MARK(z1)) by 
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))

----------------------------------------

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
S tuples:
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__2ND_1

Compound Symbols:   c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_2, c1_1, c2_2, c2_1, c6_2, c6_1, c_1


----------------------------------------

(125) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(x0, cons(z0, z1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(x0)) by 
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(2nd(z0), cons(x1, x2))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), cons(mark(x1), x2))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), cons(x1, x2))) -> c1(A__2ND(cons1(a__from(mark(z0)), cons(mark(x1), x2))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), cons(x1, x2))) -> c1(A__2ND(cons1(cons(mark(z0), z1), cons(mark(x1), x2))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), cons(x1, x2))) -> c1(A__2ND(cons1(s(mark(z0)), cons(mark(x1), x2))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), cons(x1, x2))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), cons(mark(x1), x2))), MARK(cons1(z0, z1)))

----------------------------------------

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
S tuples:
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
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   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__2ND_1

Compound Symbols:   c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_1, c2_2, c2_1, c6_2, c6_1, c1_2, c_1


----------------------------------------

(127) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__2ND(cons(x0, cons(z0, z1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) by 
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(2nd(z0), cons(x1, x2))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), cons(mark(x1), x2))), MARK(cons(x1, x2)))
   A__2ND(cons(from(z0), cons(x1, x2))) -> c2(A__2ND(cons1(a__from(mark(z0)), cons(mark(x1), x2))), MARK(cons(x1, x2)))
   A__2ND(cons(cons(z0, z1), cons(x1, x2))) -> c2(A__2ND(cons1(cons(mark(z0), z1), cons(mark(x1), x2))), MARK(cons(x1, x2)))
   A__2ND(cons(s(z0), cons(x1, x2))) -> c2(A__2ND(cons1(s(mark(z0)), cons(mark(x1), x2))), MARK(cons(x1, x2)))
   A__2ND(cons(cons1(z0, z1), cons(x1, x2))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), cons(mark(x1), x2))), MARK(cons(x1, x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))

----------------------------------------

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
S tuples:
   A__FROM(z0) -> c4(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
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   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__2ND_1

Compound Symbols:   c4_1, c7_2, c8_1, c9_1, c10_1, c11_1, c1_1, c2_1, c6_2, c6_1, c1_2, c2_2, c_1


----------------------------------------

(129) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__FROM(z0) -> c4(MARK(z0)) by 
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))

----------------------------------------

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
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   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
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   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
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   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
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   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
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   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
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   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
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   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
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   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
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   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
S tuples:
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__2ND_1, A__FROM_1

Compound Symbols:   c7_2, c8_1, c9_1, c10_1, c11_1, c1_1, c2_1, c6_2, c6_1, c1_2, c2_2, c_1, c4_1


----------------------------------------

(131) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) by 
   MARK(from(2nd(z0))) -> c7(A__FROM(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))

----------------------------------------

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
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   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
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   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(2nd(z0))) -> c7(A__FROM(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
S tuples:
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
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   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
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   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
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   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
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   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(2nd(z0))) -> c7(A__FROM(a__2nd(mark(z0))), MARK(2nd(z0)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__2ND_1, A__FROM_1

Compound Symbols:   c8_1, c9_1, c10_1, c11_1, c1_1, c2_1, c6_2, c6_1, c1_2, c2_2, c_1, c4_1, c7_2


----------------------------------------

(133) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(from(2nd(z0))) -> c7(A__FROM(a__2nd(mark(z0))), MARK(2nd(z0))) by 
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))

----------------------------------------

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
S tuples:
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
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   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
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   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__2ND_1, A__FROM_1

Compound Symbols:   c8_1, c9_1, c10_1, c11_1, c1_1, c2_1, c6_2, c6_1, c1_2, c2_2, c_1, c4_1, c7_2


----------------------------------------

(135) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0))) by 
   MARK(from(from(x0))) -> c7(A__FROM(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(2nd(z0)))) -> c7(A__FROM(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons1(z0, z1)))) -> c7(A__FROM(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))

----------------------------------------

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
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   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(from(from(x0))) -> c7(A__FROM(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(2nd(z0)))) -> c7(A__FROM(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons1(z0, z1)))) -> c7(A__FROM(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
S tuples:
   MARK(cons(z0, z1)) -> c8(MARK(z0))
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
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   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(from(from(x0))) -> c7(A__FROM(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(2nd(z0)))) -> c7(A__FROM(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons1(z0, z1)))) -> c7(A__FROM(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__2ND_1, A__FROM_1

Compound Symbols:   c8_1, c9_1, c10_1, c11_1, c1_1, c2_1, c6_2, c6_1, c1_2, c2_2, c_1, c4_1, c7_2


----------------------------------------

(137) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons(z0, z1)) -> c8(MARK(z0)) by 
   MARK(cons(cons(y0, y1), z1)) -> c8(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c8(MARK(s(y0)))
   MARK(cons(cons1(y0, y1), z1)) -> c8(MARK(cons1(y0, y1)))
   MARK(cons(2nd(cons(y0, y1)), z1)) -> c8(MARK(2nd(cons(y0, y1))))
   MARK(cons(2nd(s(y0)), z1)) -> c8(MARK(2nd(s(y0))))
   MARK(cons(2nd(2nd(2nd(y0))), z1)) -> c8(MARK(2nd(2nd(2nd(y0)))))
   MARK(cons(2nd(2nd(from(y0))), z1)) -> c8(MARK(2nd(2nd(from(y0)))))
   MARK(cons(2nd(2nd(cons(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(cons(2nd(2nd(s(y0))), z1)) -> c8(MARK(2nd(2nd(s(y0)))))
   MARK(cons(2nd(2nd(cons1(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(cons(2nd(2nd(y0)), z1)) -> c8(MARK(2nd(2nd(y0))))
   MARK(cons(2nd(from(y0)), z1)) -> c8(MARK(2nd(from(y0))))
   MARK(cons(2nd(from(2nd(y0))), z1)) -> c8(MARK(2nd(from(2nd(y0)))))
   MARK(cons(2nd(from(from(y0))), z1)) -> c8(MARK(2nd(from(from(y0)))))
   MARK(cons(2nd(from(cons(y0, y1))), z1)) -> c8(MARK(2nd(from(cons(y0, y1)))))
   MARK(cons(2nd(from(s(y0))), z1)) -> c8(MARK(2nd(from(s(y0)))))
   MARK(cons(2nd(from(cons1(y0, y1))), z1)) -> c8(MARK(2nd(from(cons1(y0, y1)))))
   MARK(cons(2nd(cons1(y0, 2nd(y1))), z1)) -> c8(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(cons(2nd(cons1(y0, from(y1))), z1)) -> c8(MARK(2nd(cons1(y0, from(y1)))))
   MARK(cons(2nd(cons1(y0, cons(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(cons(2nd(cons1(2nd(y0), y1)), z1)) -> c8(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(cons(2nd(cons1(from(y0), y1)), z1)) -> c8(MARK(2nd(cons1(from(y0), y1))))
   MARK(cons(2nd(cons1(cons(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(cons(2nd(cons1(s(y0), y1)), z1)) -> c8(MARK(2nd(cons1(s(y0), y1))))
   MARK(cons(2nd(cons1(cons1(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(cons(2nd(cons1(y0, y1)), z1)) -> c8(MARK(2nd(cons1(y0, y1))))
   MARK(cons(2nd(cons1(y0, s(y1))), z1)) -> c8(MARK(2nd(cons1(y0, s(y1)))))
   MARK(cons(2nd(cons1(y0, cons1(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(cons(from(cons(y0, y1)), z1)) -> c8(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c8(MARK(from(s(y0))))
   MARK(cons(from(cons1(y0, y1)), z1)) -> c8(MARK(from(cons1(y0, y1))))
   MARK(cons(from(2nd(y0)), z1)) -> c8(MARK(from(2nd(y0))))
   MARK(cons(from(2nd(2nd(y0))), z1)) -> c8(MARK(from(2nd(2nd(y0)))))
   MARK(cons(from(2nd(from(y0))), z1)) -> c8(MARK(from(2nd(from(y0)))))
   MARK(cons(from(2nd(cons(y0, y1))), z1)) -> c8(MARK(from(2nd(cons(y0, y1)))))
   MARK(cons(from(2nd(s(y0))), z1)) -> c8(MARK(from(2nd(s(y0)))))
   MARK(cons(from(2nd(cons1(y0, y1))), z1)) -> c8(MARK(from(2nd(cons1(y0, y1)))))
   MARK(cons(from(from(y0)), z1)) -> c8(MARK(from(from(y0))))
   MARK(cons(from(from(2nd(y0))), z1)) -> c8(MARK(from(from(2nd(y0)))))
   MARK(cons(from(from(from(y0))), z1)) -> c8(MARK(from(from(from(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c8(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c8(MARK(from(from(s(y0)))))
   MARK(cons(from(from(cons1(y0, y1))), z1)) -> c8(MARK(from(from(cons1(y0, y1)))))

----------------------------------------

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
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   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(from(from(x0))) -> c7(A__FROM(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(2nd(z0)))) -> c7(A__FROM(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons1(z0, z1)))) -> c7(A__FROM(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(cons(cons(y0, y1), z1)) -> c8(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c8(MARK(s(y0)))
   MARK(cons(cons1(y0, y1), z1)) -> c8(MARK(cons1(y0, y1)))
   MARK(cons(2nd(cons(y0, y1)), z1)) -> c8(MARK(2nd(cons(y0, y1))))
   MARK(cons(2nd(s(y0)), z1)) -> c8(MARK(2nd(s(y0))))
   MARK(cons(2nd(2nd(2nd(y0))), z1)) -> c8(MARK(2nd(2nd(2nd(y0)))))
   MARK(cons(2nd(2nd(from(y0))), z1)) -> c8(MARK(2nd(2nd(from(y0)))))
   MARK(cons(2nd(2nd(cons(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(cons(2nd(2nd(s(y0))), z1)) -> c8(MARK(2nd(2nd(s(y0)))))
   MARK(cons(2nd(2nd(cons1(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(cons(2nd(2nd(y0)), z1)) -> c8(MARK(2nd(2nd(y0))))
   MARK(cons(2nd(from(y0)), z1)) -> c8(MARK(2nd(from(y0))))
   MARK(cons(2nd(from(2nd(y0))), z1)) -> c8(MARK(2nd(from(2nd(y0)))))
   MARK(cons(2nd(from(from(y0))), z1)) -> c8(MARK(2nd(from(from(y0)))))
   MARK(cons(2nd(from(cons(y0, y1))), z1)) -> c8(MARK(2nd(from(cons(y0, y1)))))
   MARK(cons(2nd(from(s(y0))), z1)) -> c8(MARK(2nd(from(s(y0)))))
   MARK(cons(2nd(from(cons1(y0, y1))), z1)) -> c8(MARK(2nd(from(cons1(y0, y1)))))
   MARK(cons(2nd(cons1(y0, 2nd(y1))), z1)) -> c8(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(cons(2nd(cons1(y0, from(y1))), z1)) -> c8(MARK(2nd(cons1(y0, from(y1)))))
   MARK(cons(2nd(cons1(y0, cons(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(cons(2nd(cons1(2nd(y0), y1)), z1)) -> c8(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(cons(2nd(cons1(from(y0), y1)), z1)) -> c8(MARK(2nd(cons1(from(y0), y1))))
   MARK(cons(2nd(cons1(cons(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(cons(2nd(cons1(s(y0), y1)), z1)) -> c8(MARK(2nd(cons1(s(y0), y1))))
   MARK(cons(2nd(cons1(cons1(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(cons(2nd(cons1(y0, y1)), z1)) -> c8(MARK(2nd(cons1(y0, y1))))
   MARK(cons(2nd(cons1(y0, s(y1))), z1)) -> c8(MARK(2nd(cons1(y0, s(y1)))))
   MARK(cons(2nd(cons1(y0, cons1(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(cons(from(cons(y0, y1)), z1)) -> c8(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c8(MARK(from(s(y0))))
   MARK(cons(from(cons1(y0, y1)), z1)) -> c8(MARK(from(cons1(y0, y1))))
   MARK(cons(from(2nd(y0)), z1)) -> c8(MARK(from(2nd(y0))))
   MARK(cons(from(2nd(2nd(y0))), z1)) -> c8(MARK(from(2nd(2nd(y0)))))
   MARK(cons(from(2nd(from(y0))), z1)) -> c8(MARK(from(2nd(from(y0)))))
   MARK(cons(from(2nd(cons(y0, y1))), z1)) -> c8(MARK(from(2nd(cons(y0, y1)))))
   MARK(cons(from(2nd(s(y0))), z1)) -> c8(MARK(from(2nd(s(y0)))))
   MARK(cons(from(2nd(cons1(y0, y1))), z1)) -> c8(MARK(from(2nd(cons1(y0, y1)))))
   MARK(cons(from(from(y0)), z1)) -> c8(MARK(from(from(y0))))
   MARK(cons(from(from(2nd(y0))), z1)) -> c8(MARK(from(from(2nd(y0)))))
   MARK(cons(from(from(from(y0))), z1)) -> c8(MARK(from(from(from(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c8(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c8(MARK(from(from(s(y0)))))
   MARK(cons(from(from(cons1(y0, y1))), z1)) -> c8(MARK(from(from(cons1(y0, y1)))))
S tuples:
   MARK(s(z0)) -> c9(MARK(z0))
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
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   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(from(from(x0))) -> c7(A__FROM(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(2nd(z0)))) -> c7(A__FROM(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons1(z0, z1)))) -> c7(A__FROM(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(cons(cons(y0, y1), z1)) -> c8(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c8(MARK(s(y0)))
   MARK(cons(cons1(y0, y1), z1)) -> c8(MARK(cons1(y0, y1)))
   MARK(cons(2nd(cons(y0, y1)), z1)) -> c8(MARK(2nd(cons(y0, y1))))
   MARK(cons(2nd(s(y0)), z1)) -> c8(MARK(2nd(s(y0))))
   MARK(cons(2nd(2nd(2nd(y0))), z1)) -> c8(MARK(2nd(2nd(2nd(y0)))))
   MARK(cons(2nd(2nd(from(y0))), z1)) -> c8(MARK(2nd(2nd(from(y0)))))
   MARK(cons(2nd(2nd(cons(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(cons(2nd(2nd(s(y0))), z1)) -> c8(MARK(2nd(2nd(s(y0)))))
   MARK(cons(2nd(2nd(cons1(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(cons(2nd(2nd(y0)), z1)) -> c8(MARK(2nd(2nd(y0))))
   MARK(cons(2nd(from(y0)), z1)) -> c8(MARK(2nd(from(y0))))
   MARK(cons(2nd(from(2nd(y0))), z1)) -> c8(MARK(2nd(from(2nd(y0)))))
   MARK(cons(2nd(from(from(y0))), z1)) -> c8(MARK(2nd(from(from(y0)))))
   MARK(cons(2nd(from(cons(y0, y1))), z1)) -> c8(MARK(2nd(from(cons(y0, y1)))))
   MARK(cons(2nd(from(s(y0))), z1)) -> c8(MARK(2nd(from(s(y0)))))
   MARK(cons(2nd(from(cons1(y0, y1))), z1)) -> c8(MARK(2nd(from(cons1(y0, y1)))))
   MARK(cons(2nd(cons1(y0, 2nd(y1))), z1)) -> c8(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(cons(2nd(cons1(y0, from(y1))), z1)) -> c8(MARK(2nd(cons1(y0, from(y1)))))
   MARK(cons(2nd(cons1(y0, cons(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(cons(2nd(cons1(2nd(y0), y1)), z1)) -> c8(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(cons(2nd(cons1(from(y0), y1)), z1)) -> c8(MARK(2nd(cons1(from(y0), y1))))
   MARK(cons(2nd(cons1(cons(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(cons(2nd(cons1(s(y0), y1)), z1)) -> c8(MARK(2nd(cons1(s(y0), y1))))
   MARK(cons(2nd(cons1(cons1(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(cons(2nd(cons1(y0, y1)), z1)) -> c8(MARK(2nd(cons1(y0, y1))))
   MARK(cons(2nd(cons1(y0, s(y1))), z1)) -> c8(MARK(2nd(cons1(y0, s(y1)))))
   MARK(cons(2nd(cons1(y0, cons1(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(cons(from(cons(y0, y1)), z1)) -> c8(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c8(MARK(from(s(y0))))
   MARK(cons(from(cons1(y0, y1)), z1)) -> c8(MARK(from(cons1(y0, y1))))
   MARK(cons(from(2nd(y0)), z1)) -> c8(MARK(from(2nd(y0))))
   MARK(cons(from(2nd(2nd(y0))), z1)) -> c8(MARK(from(2nd(2nd(y0)))))
   MARK(cons(from(2nd(from(y0))), z1)) -> c8(MARK(from(2nd(from(y0)))))
   MARK(cons(from(2nd(cons(y0, y1))), z1)) -> c8(MARK(from(2nd(cons(y0, y1)))))
   MARK(cons(from(2nd(s(y0))), z1)) -> c8(MARK(from(2nd(s(y0)))))
   MARK(cons(from(2nd(cons1(y0, y1))), z1)) -> c8(MARK(from(2nd(cons1(y0, y1)))))
   MARK(cons(from(from(y0)), z1)) -> c8(MARK(from(from(y0))))
   MARK(cons(from(from(2nd(y0))), z1)) -> c8(MARK(from(from(2nd(y0)))))
   MARK(cons(from(from(from(y0))), z1)) -> c8(MARK(from(from(from(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c8(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c8(MARK(from(from(s(y0)))))
   MARK(cons(from(from(cons1(y0, y1))), z1)) -> c8(MARK(from(from(cons1(y0, y1)))))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__2ND_1, A__FROM_1

Compound Symbols:   c9_1, c10_1, c11_1, c1_1, c2_1, c6_2, c6_1, c1_2, c2_2, c_1, c4_1, c7_2, c8_1


----------------------------------------

(139) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(z0)) -> c9(MARK(z0)) by 
   MARK(s(s(y0))) -> c9(MARK(s(y0)))
   MARK(s(cons1(y0, y1))) -> c9(MARK(cons1(y0, y1)))
   MARK(s(2nd(cons(y0, y1)))) -> c9(MARK(2nd(cons(y0, y1))))
   MARK(s(2nd(s(y0)))) -> c9(MARK(2nd(s(y0))))
   MARK(s(2nd(2nd(2nd(y0))))) -> c9(MARK(2nd(2nd(2nd(y0)))))
   MARK(s(2nd(2nd(from(y0))))) -> c9(MARK(2nd(2nd(from(y0)))))
   MARK(s(2nd(2nd(cons(y0, y1))))) -> c9(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(s(2nd(2nd(s(y0))))) -> c9(MARK(2nd(2nd(s(y0)))))
   MARK(s(2nd(2nd(cons1(y0, y1))))) -> c9(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(s(2nd(2nd(y0)))) -> c9(MARK(2nd(2nd(y0))))
   MARK(s(2nd(from(y0)))) -> c9(MARK(2nd(from(y0))))
   MARK(s(2nd(from(2nd(y0))))) -> c9(MARK(2nd(from(2nd(y0)))))
   MARK(s(2nd(from(from(y0))))) -> c9(MARK(2nd(from(from(y0)))))
   MARK(s(2nd(from(cons(y0, y1))))) -> c9(MARK(2nd(from(cons(y0, y1)))))
   MARK(s(2nd(from(s(y0))))) -> c9(MARK(2nd(from(s(y0)))))
   MARK(s(2nd(from(cons1(y0, y1))))) -> c9(MARK(2nd(from(cons1(y0, y1)))))
   MARK(s(2nd(cons1(y0, 2nd(y1))))) -> c9(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(s(2nd(cons1(y0, from(y1))))) -> c9(MARK(2nd(cons1(y0, from(y1)))))
   MARK(s(2nd(cons1(y0, cons(y1, y2))))) -> c9(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(s(2nd(cons1(2nd(y0), y1)))) -> c9(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(s(2nd(cons1(from(y0), y1)))) -> c9(MARK(2nd(cons1(from(y0), y1))))
   MARK(s(2nd(cons1(cons(y0, y1), y2)))) -> c9(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(s(2nd(cons1(s(y0), y1)))) -> c9(MARK(2nd(cons1(s(y0), y1))))
   MARK(s(2nd(cons1(cons1(y0, y1), y2)))) -> c9(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(s(2nd(cons1(y0, y1)))) -> c9(MARK(2nd(cons1(y0, y1))))
   MARK(s(2nd(cons1(y0, s(y1))))) -> c9(MARK(2nd(cons1(y0, s(y1)))))
   MARK(s(2nd(cons1(y0, cons1(y1, y2))))) -> c9(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(s(from(cons(y0, y1)))) -> c9(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c9(MARK(from(s(y0))))
   MARK(s(from(cons1(y0, y1)))) -> c9(MARK(from(cons1(y0, y1))))
   MARK(s(from(2nd(y0)))) -> c9(MARK(from(2nd(y0))))
   MARK(s(from(2nd(2nd(y0))))) -> c9(MARK(from(2nd(2nd(y0)))))
   MARK(s(from(2nd(from(y0))))) -> c9(MARK(from(2nd(from(y0)))))
   MARK(s(from(2nd(cons(y0, y1))))) -> c9(MARK(from(2nd(cons(y0, y1)))))
   MARK(s(from(2nd(s(y0))))) -> c9(MARK(from(2nd(s(y0)))))
   MARK(s(from(2nd(cons1(y0, y1))))) -> c9(MARK(from(2nd(cons1(y0, y1)))))
   MARK(s(from(from(y0)))) -> c9(MARK(from(from(y0))))
   MARK(s(from(from(2nd(y0))))) -> c9(MARK(from(from(2nd(y0)))))
   MARK(s(from(from(from(y0))))) -> c9(MARK(from(from(from(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c9(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c9(MARK(from(from(s(y0)))))
   MARK(s(from(from(cons1(y0, y1))))) -> c9(MARK(from(from(cons1(y0, y1)))))
   MARK(s(cons(cons(y0, y1), y2))) -> c9(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c9(MARK(cons(s(y0), y1)))
   MARK(s(cons(cons1(y0, y1), y2))) -> c9(MARK(cons(cons1(y0, y1), y2)))
   MARK(s(cons(2nd(cons(y0, y1)), y2))) -> c9(MARK(cons(2nd(cons(y0, y1)), y2)))
   MARK(s(cons(2nd(s(y0)), y1))) -> c9(MARK(cons(2nd(s(y0)), y1)))
   MARK(s(cons(2nd(2nd(2nd(y0))), y1))) -> c9(MARK(cons(2nd(2nd(2nd(y0))), y1)))
   MARK(s(cons(2nd(2nd(from(y0))), y1))) -> c9(MARK(cons(2nd(2nd(from(y0))), y1)))
   MARK(s(cons(2nd(2nd(cons(y0, y1))), y2))) -> c9(MARK(cons(2nd(2nd(cons(y0, y1))), y2)))
   MARK(s(cons(2nd(2nd(s(y0))), y1))) -> c9(MARK(cons(2nd(2nd(s(y0))), y1)))
   MARK(s(cons(2nd(2nd(cons1(y0, y1))), y2))) -> c9(MARK(cons(2nd(2nd(cons1(y0, y1))), y2)))
   MARK(s(cons(2nd(2nd(y0)), y1))) -> c9(MARK(cons(2nd(2nd(y0)), y1)))
   MARK(s(cons(2nd(from(y0)), y1))) -> c9(MARK(cons(2nd(from(y0)), y1)))
   MARK(s(cons(2nd(from(2nd(y0))), y1))) -> c9(MARK(cons(2nd(from(2nd(y0))), y1)))
   MARK(s(cons(2nd(from(from(y0))), y1))) -> c9(MARK(cons(2nd(from(from(y0))), y1)))
   MARK(s(cons(2nd(from(cons(y0, y1))), y2))) -> c9(MARK(cons(2nd(from(cons(y0, y1))), y2)))
   MARK(s(cons(2nd(from(s(y0))), y1))) -> c9(MARK(cons(2nd(from(s(y0))), y1)))
   MARK(s(cons(2nd(from(cons1(y0, y1))), y2))) -> c9(MARK(cons(2nd(from(cons1(y0, y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, 2nd(y1))), y2))) -> c9(MARK(cons(2nd(cons1(y0, 2nd(y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, from(y1))), y2))) -> c9(MARK(cons(2nd(cons1(y0, from(y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, cons(y1, y2))), y3))) -> c9(MARK(cons(2nd(cons1(y0, cons(y1, y2))), y3)))
   MARK(s(cons(2nd(cons1(2nd(y0), y1)), y2))) -> c9(MARK(cons(2nd(cons1(2nd(y0), y1)), y2)))
   MARK(s(cons(2nd(cons1(from(y0), y1)), y2))) -> c9(MARK(cons(2nd(cons1(from(y0), y1)), y2)))
   MARK(s(cons(2nd(cons1(cons(y0, y1), y2)), y3))) -> c9(MARK(cons(2nd(cons1(cons(y0, y1), y2)), y3)))
   MARK(s(cons(2nd(cons1(s(y0), y1)), y2))) -> c9(MARK(cons(2nd(cons1(s(y0), y1)), y2)))
   MARK(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3))) -> c9(MARK(cons(2nd(cons1(cons1(y0, y1), y2)), y3)))
   MARK(s(cons(2nd(cons1(y0, y1)), y2))) -> c9(MARK(cons(2nd(cons1(y0, y1)), y2)))
   MARK(s(cons(2nd(cons1(y0, s(y1))), y2))) -> c9(MARK(cons(2nd(cons1(y0, s(y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3))) -> c9(MARK(cons(2nd(cons1(y0, cons1(y1, y2))), y3)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c9(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c9(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(cons1(y0, y1)), y2))) -> c9(MARK(cons(from(cons1(y0, y1)), y2)))
   MARK(s(cons(from(2nd(y0)), y1))) -> c9(MARK(cons(from(2nd(y0)), y1)))
   MARK(s(cons(from(2nd(2nd(y0))), y1))) -> c9(MARK(cons(from(2nd(2nd(y0))), y1)))
   MARK(s(cons(from(2nd(from(y0))), y1))) -> c9(MARK(cons(from(2nd(from(y0))), y1)))
   MARK(s(cons(from(2nd(cons(y0, y1))), y2))) -> c9(MARK(cons(from(2nd(cons(y0, y1))), y2)))
   MARK(s(cons(from(2nd(s(y0))), y1))) -> c9(MARK(cons(from(2nd(s(y0))), y1)))
   MARK(s(cons(from(2nd(cons1(y0, y1))), y2))) -> c9(MARK(cons(from(2nd(cons1(y0, y1))), y2)))
   MARK(s(cons(from(from(y0)), y1))) -> c9(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(2nd(y0))), y1))) -> c9(MARK(cons(from(from(2nd(y0))), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c9(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c9(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c9(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(cons1(y0, y1))), y2))) -> c9(MARK(cons(from(from(cons1(y0, y1))), y2)))

----------------------------------------

(140)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
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   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
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   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
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   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(from(from(x0))) -> c7(A__FROM(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(2nd(z0)))) -> c7(A__FROM(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons1(z0, z1)))) -> c7(A__FROM(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(cons(cons(y0, y1), z1)) -> c8(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c8(MARK(s(y0)))
   MARK(cons(cons1(y0, y1), z1)) -> c8(MARK(cons1(y0, y1)))
   MARK(cons(2nd(cons(y0, y1)), z1)) -> c8(MARK(2nd(cons(y0, y1))))
   MARK(cons(2nd(s(y0)), z1)) -> c8(MARK(2nd(s(y0))))
   MARK(cons(2nd(2nd(2nd(y0))), z1)) -> c8(MARK(2nd(2nd(2nd(y0)))))
   MARK(cons(2nd(2nd(from(y0))), z1)) -> c8(MARK(2nd(2nd(from(y0)))))
   MARK(cons(2nd(2nd(cons(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(cons(2nd(2nd(s(y0))), z1)) -> c8(MARK(2nd(2nd(s(y0)))))
   MARK(cons(2nd(2nd(cons1(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(cons(2nd(2nd(y0)), z1)) -> c8(MARK(2nd(2nd(y0))))
   MARK(cons(2nd(from(y0)), z1)) -> c8(MARK(2nd(from(y0))))
   MARK(cons(2nd(from(2nd(y0))), z1)) -> c8(MARK(2nd(from(2nd(y0)))))
   MARK(cons(2nd(from(from(y0))), z1)) -> c8(MARK(2nd(from(from(y0)))))
   MARK(cons(2nd(from(cons(y0, y1))), z1)) -> c8(MARK(2nd(from(cons(y0, y1)))))
   MARK(cons(2nd(from(s(y0))), z1)) -> c8(MARK(2nd(from(s(y0)))))
   MARK(cons(2nd(from(cons1(y0, y1))), z1)) -> c8(MARK(2nd(from(cons1(y0, y1)))))
   MARK(cons(2nd(cons1(y0, 2nd(y1))), z1)) -> c8(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(cons(2nd(cons1(y0, from(y1))), z1)) -> c8(MARK(2nd(cons1(y0, from(y1)))))
   MARK(cons(2nd(cons1(y0, cons(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(cons(2nd(cons1(2nd(y0), y1)), z1)) -> c8(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(cons(2nd(cons1(from(y0), y1)), z1)) -> c8(MARK(2nd(cons1(from(y0), y1))))
   MARK(cons(2nd(cons1(cons(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(cons(2nd(cons1(s(y0), y1)), z1)) -> c8(MARK(2nd(cons1(s(y0), y1))))
   MARK(cons(2nd(cons1(cons1(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(cons(2nd(cons1(y0, y1)), z1)) -> c8(MARK(2nd(cons1(y0, y1))))
   MARK(cons(2nd(cons1(y0, s(y1))), z1)) -> c8(MARK(2nd(cons1(y0, s(y1)))))
   MARK(cons(2nd(cons1(y0, cons1(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(cons(from(cons(y0, y1)), z1)) -> c8(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c8(MARK(from(s(y0))))
   MARK(cons(from(cons1(y0, y1)), z1)) -> c8(MARK(from(cons1(y0, y1))))
   MARK(cons(from(2nd(y0)), z1)) -> c8(MARK(from(2nd(y0))))
   MARK(cons(from(2nd(2nd(y0))), z1)) -> c8(MARK(from(2nd(2nd(y0)))))
   MARK(cons(from(2nd(from(y0))), z1)) -> c8(MARK(from(2nd(from(y0)))))
   MARK(cons(from(2nd(cons(y0, y1))), z1)) -> c8(MARK(from(2nd(cons(y0, y1)))))
   MARK(cons(from(2nd(s(y0))), z1)) -> c8(MARK(from(2nd(s(y0)))))
   MARK(cons(from(2nd(cons1(y0, y1))), z1)) -> c8(MARK(from(2nd(cons1(y0, y1)))))
   MARK(cons(from(from(y0)), z1)) -> c8(MARK(from(from(y0))))
   MARK(cons(from(from(2nd(y0))), z1)) -> c8(MARK(from(from(2nd(y0)))))
   MARK(cons(from(from(from(y0))), z1)) -> c8(MARK(from(from(from(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c8(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c8(MARK(from(from(s(y0)))))
   MARK(cons(from(from(cons1(y0, y1))), z1)) -> c8(MARK(from(from(cons1(y0, y1)))))
   MARK(s(s(y0))) -> c9(MARK(s(y0)))
   MARK(s(cons1(y0, y1))) -> c9(MARK(cons1(y0, y1)))
   MARK(s(2nd(cons(y0, y1)))) -> c9(MARK(2nd(cons(y0, y1))))
   MARK(s(2nd(s(y0)))) -> c9(MARK(2nd(s(y0))))
   MARK(s(2nd(2nd(2nd(y0))))) -> c9(MARK(2nd(2nd(2nd(y0)))))
   MARK(s(2nd(2nd(from(y0))))) -> c9(MARK(2nd(2nd(from(y0)))))
   MARK(s(2nd(2nd(cons(y0, y1))))) -> c9(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(s(2nd(2nd(s(y0))))) -> c9(MARK(2nd(2nd(s(y0)))))
   MARK(s(2nd(2nd(cons1(y0, y1))))) -> c9(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(s(2nd(2nd(y0)))) -> c9(MARK(2nd(2nd(y0))))
   MARK(s(2nd(from(y0)))) -> c9(MARK(2nd(from(y0))))
   MARK(s(2nd(from(2nd(y0))))) -> c9(MARK(2nd(from(2nd(y0)))))
   MARK(s(2nd(from(from(y0))))) -> c9(MARK(2nd(from(from(y0)))))
   MARK(s(2nd(from(cons(y0, y1))))) -> c9(MARK(2nd(from(cons(y0, y1)))))
   MARK(s(2nd(from(s(y0))))) -> c9(MARK(2nd(from(s(y0)))))
   MARK(s(2nd(from(cons1(y0, y1))))) -> c9(MARK(2nd(from(cons1(y0, y1)))))
   MARK(s(2nd(cons1(y0, 2nd(y1))))) -> c9(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(s(2nd(cons1(y0, from(y1))))) -> c9(MARK(2nd(cons1(y0, from(y1)))))
   MARK(s(2nd(cons1(y0, cons(y1, y2))))) -> c9(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(s(2nd(cons1(2nd(y0), y1)))) -> c9(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(s(2nd(cons1(from(y0), y1)))) -> c9(MARK(2nd(cons1(from(y0), y1))))
   MARK(s(2nd(cons1(cons(y0, y1), y2)))) -> c9(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(s(2nd(cons1(s(y0), y1)))) -> c9(MARK(2nd(cons1(s(y0), y1))))
   MARK(s(2nd(cons1(cons1(y0, y1), y2)))) -> c9(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(s(2nd(cons1(y0, y1)))) -> c9(MARK(2nd(cons1(y0, y1))))
   MARK(s(2nd(cons1(y0, s(y1))))) -> c9(MARK(2nd(cons1(y0, s(y1)))))
   MARK(s(2nd(cons1(y0, cons1(y1, y2))))) -> c9(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(s(from(cons(y0, y1)))) -> c9(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c9(MARK(from(s(y0))))
   MARK(s(from(cons1(y0, y1)))) -> c9(MARK(from(cons1(y0, y1))))
   MARK(s(from(2nd(y0)))) -> c9(MARK(from(2nd(y0))))
   MARK(s(from(2nd(2nd(y0))))) -> c9(MARK(from(2nd(2nd(y0)))))
   MARK(s(from(2nd(from(y0))))) -> c9(MARK(from(2nd(from(y0)))))
   MARK(s(from(2nd(cons(y0, y1))))) -> c9(MARK(from(2nd(cons(y0, y1)))))
   MARK(s(from(2nd(s(y0))))) -> c9(MARK(from(2nd(s(y0)))))
   MARK(s(from(2nd(cons1(y0, y1))))) -> c9(MARK(from(2nd(cons1(y0, y1)))))
   MARK(s(from(from(y0)))) -> c9(MARK(from(from(y0))))
   MARK(s(from(from(2nd(y0))))) -> c9(MARK(from(from(2nd(y0)))))
   MARK(s(from(from(from(y0))))) -> c9(MARK(from(from(from(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c9(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c9(MARK(from(from(s(y0)))))
   MARK(s(from(from(cons1(y0, y1))))) -> c9(MARK(from(from(cons1(y0, y1)))))
   MARK(s(cons(cons(y0, y1), y2))) -> c9(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c9(MARK(cons(s(y0), y1)))
   MARK(s(cons(cons1(y0, y1), y2))) -> c9(MARK(cons(cons1(y0, y1), y2)))
   MARK(s(cons(2nd(cons(y0, y1)), y2))) -> c9(MARK(cons(2nd(cons(y0, y1)), y2)))
   MARK(s(cons(2nd(s(y0)), y1))) -> c9(MARK(cons(2nd(s(y0)), y1)))
   MARK(s(cons(2nd(2nd(2nd(y0))), y1))) -> c9(MARK(cons(2nd(2nd(2nd(y0))), y1)))
   MARK(s(cons(2nd(2nd(from(y0))), y1))) -> c9(MARK(cons(2nd(2nd(from(y0))), y1)))
   MARK(s(cons(2nd(2nd(cons(y0, y1))), y2))) -> c9(MARK(cons(2nd(2nd(cons(y0, y1))), y2)))
   MARK(s(cons(2nd(2nd(s(y0))), y1))) -> c9(MARK(cons(2nd(2nd(s(y0))), y1)))
   MARK(s(cons(2nd(2nd(cons1(y0, y1))), y2))) -> c9(MARK(cons(2nd(2nd(cons1(y0, y1))), y2)))
   MARK(s(cons(2nd(2nd(y0)), y1))) -> c9(MARK(cons(2nd(2nd(y0)), y1)))
   MARK(s(cons(2nd(from(y0)), y1))) -> c9(MARK(cons(2nd(from(y0)), y1)))
   MARK(s(cons(2nd(from(2nd(y0))), y1))) -> c9(MARK(cons(2nd(from(2nd(y0))), y1)))
   MARK(s(cons(2nd(from(from(y0))), y1))) -> c9(MARK(cons(2nd(from(from(y0))), y1)))
   MARK(s(cons(2nd(from(cons(y0, y1))), y2))) -> c9(MARK(cons(2nd(from(cons(y0, y1))), y2)))
   MARK(s(cons(2nd(from(s(y0))), y1))) -> c9(MARK(cons(2nd(from(s(y0))), y1)))
   MARK(s(cons(2nd(from(cons1(y0, y1))), y2))) -> c9(MARK(cons(2nd(from(cons1(y0, y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, 2nd(y1))), y2))) -> c9(MARK(cons(2nd(cons1(y0, 2nd(y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, from(y1))), y2))) -> c9(MARK(cons(2nd(cons1(y0, from(y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, cons(y1, y2))), y3))) -> c9(MARK(cons(2nd(cons1(y0, cons(y1, y2))), y3)))
   MARK(s(cons(2nd(cons1(2nd(y0), y1)), y2))) -> c9(MARK(cons(2nd(cons1(2nd(y0), y1)), y2)))
   MARK(s(cons(2nd(cons1(from(y0), y1)), y2))) -> c9(MARK(cons(2nd(cons1(from(y0), y1)), y2)))
   MARK(s(cons(2nd(cons1(cons(y0, y1), y2)), y3))) -> c9(MARK(cons(2nd(cons1(cons(y0, y1), y2)), y3)))
   MARK(s(cons(2nd(cons1(s(y0), y1)), y2))) -> c9(MARK(cons(2nd(cons1(s(y0), y1)), y2)))
   MARK(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3))) -> c9(MARK(cons(2nd(cons1(cons1(y0, y1), y2)), y3)))
   MARK(s(cons(2nd(cons1(y0, y1)), y2))) -> c9(MARK(cons(2nd(cons1(y0, y1)), y2)))
   MARK(s(cons(2nd(cons1(y0, s(y1))), y2))) -> c9(MARK(cons(2nd(cons1(y0, s(y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3))) -> c9(MARK(cons(2nd(cons1(y0, cons1(y1, y2))), y3)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c9(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c9(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(cons1(y0, y1)), y2))) -> c9(MARK(cons(from(cons1(y0, y1)), y2)))
   MARK(s(cons(from(2nd(y0)), y1))) -> c9(MARK(cons(from(2nd(y0)), y1)))
   MARK(s(cons(from(2nd(2nd(y0))), y1))) -> c9(MARK(cons(from(2nd(2nd(y0))), y1)))
   MARK(s(cons(from(2nd(from(y0))), y1))) -> c9(MARK(cons(from(2nd(from(y0))), y1)))
   MARK(s(cons(from(2nd(cons(y0, y1))), y2))) -> c9(MARK(cons(from(2nd(cons(y0, y1))), y2)))
   MARK(s(cons(from(2nd(s(y0))), y1))) -> c9(MARK(cons(from(2nd(s(y0))), y1)))
   MARK(s(cons(from(2nd(cons1(y0, y1))), y2))) -> c9(MARK(cons(from(2nd(cons1(y0, y1))), y2)))
   MARK(s(cons(from(from(y0)), y1))) -> c9(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(2nd(y0))), y1))) -> c9(MARK(cons(from(from(2nd(y0))), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c9(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c9(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c9(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(cons1(y0, y1))), y2))) -> c9(MARK(cons(from(from(cons1(y0, y1))), y2)))
S tuples:
   MARK(cons1(z0, z1)) -> c10(MARK(z0))
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
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   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(from(from(x0))) -> c7(A__FROM(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(2nd(z0)))) -> c7(A__FROM(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons1(z0, z1)))) -> c7(A__FROM(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(cons(cons(y0, y1), z1)) -> c8(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c8(MARK(s(y0)))
   MARK(cons(cons1(y0, y1), z1)) -> c8(MARK(cons1(y0, y1)))
   MARK(cons(2nd(cons(y0, y1)), z1)) -> c8(MARK(2nd(cons(y0, y1))))
   MARK(cons(2nd(s(y0)), z1)) -> c8(MARK(2nd(s(y0))))
   MARK(cons(2nd(2nd(2nd(y0))), z1)) -> c8(MARK(2nd(2nd(2nd(y0)))))
   MARK(cons(2nd(2nd(from(y0))), z1)) -> c8(MARK(2nd(2nd(from(y0)))))
   MARK(cons(2nd(2nd(cons(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(cons(2nd(2nd(s(y0))), z1)) -> c8(MARK(2nd(2nd(s(y0)))))
   MARK(cons(2nd(2nd(cons1(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(cons(2nd(2nd(y0)), z1)) -> c8(MARK(2nd(2nd(y0))))
   MARK(cons(2nd(from(y0)), z1)) -> c8(MARK(2nd(from(y0))))
   MARK(cons(2nd(from(2nd(y0))), z1)) -> c8(MARK(2nd(from(2nd(y0)))))
   MARK(cons(2nd(from(from(y0))), z1)) -> c8(MARK(2nd(from(from(y0)))))
   MARK(cons(2nd(from(cons(y0, y1))), z1)) -> c8(MARK(2nd(from(cons(y0, y1)))))
   MARK(cons(2nd(from(s(y0))), z1)) -> c8(MARK(2nd(from(s(y0)))))
   MARK(cons(2nd(from(cons1(y0, y1))), z1)) -> c8(MARK(2nd(from(cons1(y0, y1)))))
   MARK(cons(2nd(cons1(y0, 2nd(y1))), z1)) -> c8(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(cons(2nd(cons1(y0, from(y1))), z1)) -> c8(MARK(2nd(cons1(y0, from(y1)))))
   MARK(cons(2nd(cons1(y0, cons(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(cons(2nd(cons1(2nd(y0), y1)), z1)) -> c8(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(cons(2nd(cons1(from(y0), y1)), z1)) -> c8(MARK(2nd(cons1(from(y0), y1))))
   MARK(cons(2nd(cons1(cons(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(cons(2nd(cons1(s(y0), y1)), z1)) -> c8(MARK(2nd(cons1(s(y0), y1))))
   MARK(cons(2nd(cons1(cons1(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(cons(2nd(cons1(y0, y1)), z1)) -> c8(MARK(2nd(cons1(y0, y1))))
   MARK(cons(2nd(cons1(y0, s(y1))), z1)) -> c8(MARK(2nd(cons1(y0, s(y1)))))
   MARK(cons(2nd(cons1(y0, cons1(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(cons(from(cons(y0, y1)), z1)) -> c8(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c8(MARK(from(s(y0))))
   MARK(cons(from(cons1(y0, y1)), z1)) -> c8(MARK(from(cons1(y0, y1))))
   MARK(cons(from(2nd(y0)), z1)) -> c8(MARK(from(2nd(y0))))
   MARK(cons(from(2nd(2nd(y0))), z1)) -> c8(MARK(from(2nd(2nd(y0)))))
   MARK(cons(from(2nd(from(y0))), z1)) -> c8(MARK(from(2nd(from(y0)))))
   MARK(cons(from(2nd(cons(y0, y1))), z1)) -> c8(MARK(from(2nd(cons(y0, y1)))))
   MARK(cons(from(2nd(s(y0))), z1)) -> c8(MARK(from(2nd(s(y0)))))
   MARK(cons(from(2nd(cons1(y0, y1))), z1)) -> c8(MARK(from(2nd(cons1(y0, y1)))))
   MARK(cons(from(from(y0)), z1)) -> c8(MARK(from(from(y0))))
   MARK(cons(from(from(2nd(y0))), z1)) -> c8(MARK(from(from(2nd(y0)))))
   MARK(cons(from(from(from(y0))), z1)) -> c8(MARK(from(from(from(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c8(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c8(MARK(from(from(s(y0)))))
   MARK(cons(from(from(cons1(y0, y1))), z1)) -> c8(MARK(from(from(cons1(y0, y1)))))
   MARK(s(s(y0))) -> c9(MARK(s(y0)))
   MARK(s(cons1(y0, y1))) -> c9(MARK(cons1(y0, y1)))
   MARK(s(2nd(cons(y0, y1)))) -> c9(MARK(2nd(cons(y0, y1))))
   MARK(s(2nd(s(y0)))) -> c9(MARK(2nd(s(y0))))
   MARK(s(2nd(2nd(2nd(y0))))) -> c9(MARK(2nd(2nd(2nd(y0)))))
   MARK(s(2nd(2nd(from(y0))))) -> c9(MARK(2nd(2nd(from(y0)))))
   MARK(s(2nd(2nd(cons(y0, y1))))) -> c9(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(s(2nd(2nd(s(y0))))) -> c9(MARK(2nd(2nd(s(y0)))))
   MARK(s(2nd(2nd(cons1(y0, y1))))) -> c9(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(s(2nd(2nd(y0)))) -> c9(MARK(2nd(2nd(y0))))
   MARK(s(2nd(from(y0)))) -> c9(MARK(2nd(from(y0))))
   MARK(s(2nd(from(2nd(y0))))) -> c9(MARK(2nd(from(2nd(y0)))))
   MARK(s(2nd(from(from(y0))))) -> c9(MARK(2nd(from(from(y0)))))
   MARK(s(2nd(from(cons(y0, y1))))) -> c9(MARK(2nd(from(cons(y0, y1)))))
   MARK(s(2nd(from(s(y0))))) -> c9(MARK(2nd(from(s(y0)))))
   MARK(s(2nd(from(cons1(y0, y1))))) -> c9(MARK(2nd(from(cons1(y0, y1)))))
   MARK(s(2nd(cons1(y0, 2nd(y1))))) -> c9(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(s(2nd(cons1(y0, from(y1))))) -> c9(MARK(2nd(cons1(y0, from(y1)))))
   MARK(s(2nd(cons1(y0, cons(y1, y2))))) -> c9(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(s(2nd(cons1(2nd(y0), y1)))) -> c9(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(s(2nd(cons1(from(y0), y1)))) -> c9(MARK(2nd(cons1(from(y0), y1))))
   MARK(s(2nd(cons1(cons(y0, y1), y2)))) -> c9(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(s(2nd(cons1(s(y0), y1)))) -> c9(MARK(2nd(cons1(s(y0), y1))))
   MARK(s(2nd(cons1(cons1(y0, y1), y2)))) -> c9(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(s(2nd(cons1(y0, y1)))) -> c9(MARK(2nd(cons1(y0, y1))))
   MARK(s(2nd(cons1(y0, s(y1))))) -> c9(MARK(2nd(cons1(y0, s(y1)))))
   MARK(s(2nd(cons1(y0, cons1(y1, y2))))) -> c9(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(s(from(cons(y0, y1)))) -> c9(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c9(MARK(from(s(y0))))
   MARK(s(from(cons1(y0, y1)))) -> c9(MARK(from(cons1(y0, y1))))
   MARK(s(from(2nd(y0)))) -> c9(MARK(from(2nd(y0))))
   MARK(s(from(2nd(2nd(y0))))) -> c9(MARK(from(2nd(2nd(y0)))))
   MARK(s(from(2nd(from(y0))))) -> c9(MARK(from(2nd(from(y0)))))
   MARK(s(from(2nd(cons(y0, y1))))) -> c9(MARK(from(2nd(cons(y0, y1)))))
   MARK(s(from(2nd(s(y0))))) -> c9(MARK(from(2nd(s(y0)))))
   MARK(s(from(2nd(cons1(y0, y1))))) -> c9(MARK(from(2nd(cons1(y0, y1)))))
   MARK(s(from(from(y0)))) -> c9(MARK(from(from(y0))))
   MARK(s(from(from(2nd(y0))))) -> c9(MARK(from(from(2nd(y0)))))
   MARK(s(from(from(from(y0))))) -> c9(MARK(from(from(from(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c9(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c9(MARK(from(from(s(y0)))))
   MARK(s(from(from(cons1(y0, y1))))) -> c9(MARK(from(from(cons1(y0, y1)))))
   MARK(s(cons(cons(y0, y1), y2))) -> c9(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c9(MARK(cons(s(y0), y1)))
   MARK(s(cons(cons1(y0, y1), y2))) -> c9(MARK(cons(cons1(y0, y1), y2)))
   MARK(s(cons(2nd(cons(y0, y1)), y2))) -> c9(MARK(cons(2nd(cons(y0, y1)), y2)))
   MARK(s(cons(2nd(s(y0)), y1))) -> c9(MARK(cons(2nd(s(y0)), y1)))
   MARK(s(cons(2nd(2nd(2nd(y0))), y1))) -> c9(MARK(cons(2nd(2nd(2nd(y0))), y1)))
   MARK(s(cons(2nd(2nd(from(y0))), y1))) -> c9(MARK(cons(2nd(2nd(from(y0))), y1)))
   MARK(s(cons(2nd(2nd(cons(y0, y1))), y2))) -> c9(MARK(cons(2nd(2nd(cons(y0, y1))), y2)))
   MARK(s(cons(2nd(2nd(s(y0))), y1))) -> c9(MARK(cons(2nd(2nd(s(y0))), y1)))
   MARK(s(cons(2nd(2nd(cons1(y0, y1))), y2))) -> c9(MARK(cons(2nd(2nd(cons1(y0, y1))), y2)))
   MARK(s(cons(2nd(2nd(y0)), y1))) -> c9(MARK(cons(2nd(2nd(y0)), y1)))
   MARK(s(cons(2nd(from(y0)), y1))) -> c9(MARK(cons(2nd(from(y0)), y1)))
   MARK(s(cons(2nd(from(2nd(y0))), y1))) -> c9(MARK(cons(2nd(from(2nd(y0))), y1)))
   MARK(s(cons(2nd(from(from(y0))), y1))) -> c9(MARK(cons(2nd(from(from(y0))), y1)))
   MARK(s(cons(2nd(from(cons(y0, y1))), y2))) -> c9(MARK(cons(2nd(from(cons(y0, y1))), y2)))
   MARK(s(cons(2nd(from(s(y0))), y1))) -> c9(MARK(cons(2nd(from(s(y0))), y1)))
   MARK(s(cons(2nd(from(cons1(y0, y1))), y2))) -> c9(MARK(cons(2nd(from(cons1(y0, y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, 2nd(y1))), y2))) -> c9(MARK(cons(2nd(cons1(y0, 2nd(y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, from(y1))), y2))) -> c9(MARK(cons(2nd(cons1(y0, from(y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, cons(y1, y2))), y3))) -> c9(MARK(cons(2nd(cons1(y0, cons(y1, y2))), y3)))
   MARK(s(cons(2nd(cons1(2nd(y0), y1)), y2))) -> c9(MARK(cons(2nd(cons1(2nd(y0), y1)), y2)))
   MARK(s(cons(2nd(cons1(from(y0), y1)), y2))) -> c9(MARK(cons(2nd(cons1(from(y0), y1)), y2)))
   MARK(s(cons(2nd(cons1(cons(y0, y1), y2)), y3))) -> c9(MARK(cons(2nd(cons1(cons(y0, y1), y2)), y3)))
   MARK(s(cons(2nd(cons1(s(y0), y1)), y2))) -> c9(MARK(cons(2nd(cons1(s(y0), y1)), y2)))
   MARK(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3))) -> c9(MARK(cons(2nd(cons1(cons1(y0, y1), y2)), y3)))
   MARK(s(cons(2nd(cons1(y0, y1)), y2))) -> c9(MARK(cons(2nd(cons1(y0, y1)), y2)))
   MARK(s(cons(2nd(cons1(y0, s(y1))), y2))) -> c9(MARK(cons(2nd(cons1(y0, s(y1))), y2)))
   MARK(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3))) -> c9(MARK(cons(2nd(cons1(y0, cons1(y1, y2))), y3)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c9(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c9(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(cons1(y0, y1)), y2))) -> c9(MARK(cons(from(cons1(y0, y1)), y2)))
   MARK(s(cons(from(2nd(y0)), y1))) -> c9(MARK(cons(from(2nd(y0)), y1)))
   MARK(s(cons(from(2nd(2nd(y0))), y1))) -> c9(MARK(cons(from(2nd(2nd(y0))), y1)))
   MARK(s(cons(from(2nd(from(y0))), y1))) -> c9(MARK(cons(from(2nd(from(y0))), y1)))
   MARK(s(cons(from(2nd(cons(y0, y1))), y2))) -> c9(MARK(cons(from(2nd(cons(y0, y1))), y2)))
   MARK(s(cons(from(2nd(s(y0))), y1))) -> c9(MARK(cons(from(2nd(s(y0))), y1)))
   MARK(s(cons(from(2nd(cons1(y0, y1))), y2))) -> c9(MARK(cons(from(2nd(cons1(y0, y1))), y2)))
   MARK(s(cons(from(from(y0)), y1))) -> c9(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(2nd(y0))), y1))) -> c9(MARK(cons(from(from(2nd(y0))), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c9(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c9(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c9(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(cons1(y0, y1))), y2))) -> c9(MARK(cons(from(from(cons1(y0, y1))), y2)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__2ND_1, A__FROM_1

Compound Symbols:   c10_1, c11_1, c1_1, c2_1, c6_2, c6_1, c1_2, c2_2, c_1, c4_1, c7_2, c8_1, c9_1


----------------------------------------

(141) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons1(z0, z1)) -> c10(MARK(z0)) by 
   MARK(cons1(cons1(y0, y1), z1)) -> c10(MARK(cons1(y0, y1)))
   MARK(cons1(2nd(cons(y0, y1)), z1)) -> c10(MARK(2nd(cons(y0, y1))))
   MARK(cons1(2nd(s(y0)), z1)) -> c10(MARK(2nd(s(y0))))
   MARK(cons1(2nd(2nd(2nd(y0))), z1)) -> c10(MARK(2nd(2nd(2nd(y0)))))
   MARK(cons1(2nd(2nd(from(y0))), z1)) -> c10(MARK(2nd(2nd(from(y0)))))
   MARK(cons1(2nd(2nd(cons(y0, y1))), z1)) -> c10(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(cons1(2nd(2nd(s(y0))), z1)) -> c10(MARK(2nd(2nd(s(y0)))))
   MARK(cons1(2nd(2nd(cons1(y0, y1))), z1)) -> c10(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(cons1(2nd(2nd(y0)), z1)) -> c10(MARK(2nd(2nd(y0))))
   MARK(cons1(2nd(from(y0)), z1)) -> c10(MARK(2nd(from(y0))))
   MARK(cons1(2nd(from(2nd(y0))), z1)) -> c10(MARK(2nd(from(2nd(y0)))))
   MARK(cons1(2nd(from(from(y0))), z1)) -> c10(MARK(2nd(from(from(y0)))))
   MARK(cons1(2nd(from(cons(y0, y1))), z1)) -> c10(MARK(2nd(from(cons(y0, y1)))))
   MARK(cons1(2nd(from(s(y0))), z1)) -> c10(MARK(2nd(from(s(y0)))))
   MARK(cons1(2nd(from(cons1(y0, y1))), z1)) -> c10(MARK(2nd(from(cons1(y0, y1)))))
   MARK(cons1(2nd(cons1(y0, 2nd(y1))), z1)) -> c10(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(cons1(2nd(cons1(y0, from(y1))), z1)) -> c10(MARK(2nd(cons1(y0, from(y1)))))
   MARK(cons1(2nd(cons1(y0, cons(y1, y2))), z1)) -> c10(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(cons1(2nd(cons1(2nd(y0), y1)), z1)) -> c10(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(cons1(2nd(cons1(from(y0), y1)), z1)) -> c10(MARK(2nd(cons1(from(y0), y1))))
   MARK(cons1(2nd(cons1(cons(y0, y1), y2)), z1)) -> c10(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(cons1(2nd(cons1(s(y0), y1)), z1)) -> c10(MARK(2nd(cons1(s(y0), y1))))
   MARK(cons1(2nd(cons1(cons1(y0, y1), y2)), z1)) -> c10(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(cons1(2nd(cons1(y0, y1)), z1)) -> c10(MARK(2nd(cons1(y0, y1))))
   MARK(cons1(2nd(cons1(y0, s(y1))), z1)) -> c10(MARK(2nd(cons1(y0, s(y1)))))
   MARK(cons1(2nd(cons1(y0, cons1(y1, y2))), z1)) -> c10(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(cons1(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons1(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons1(from(cons1(y0, y1)), z1)) -> c10(MARK(from(cons1(y0, y1))))
   MARK(cons1(from(2nd(y0)), z1)) -> c10(MARK(from(2nd(y0))))
   MARK(cons1(from(2nd(2nd(y0))), z1)) -> c10(MARK(from(2nd(2nd(y0)))))
   MARK(cons1(from(2nd(from(y0))), z1)) -> c10(MARK(from(2nd(from(y0)))))
   MARK(cons1(from(2nd(cons(y0, y1))), z1)) -> c10(MARK(from(2nd(cons(y0, y1)))))
   MARK(cons1(from(2nd(s(y0))), z1)) -> c10(MARK(from(2nd(s(y0)))))
   MARK(cons1(from(2nd(cons1(y0, y1))), z1)) -> c10(MARK(from(2nd(cons1(y0, y1)))))
   MARK(cons1(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons1(from(from(2nd(y0))), z1)) -> c10(MARK(from(from(2nd(y0)))))
   MARK(cons1(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons1(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons1(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons1(from(from(cons1(y0, y1))), z1)) -> c10(MARK(from(from(cons1(y0, y1)))))
   MARK(cons1(cons(cons(y0, y1), y2), z1)) -> c10(MARK(cons(cons(y0, y1), y2)))
   MARK(cons1(cons(s(y0), y1), z1)) -> c10(MARK(cons(s(y0), y1)))
   MARK(cons1(cons(cons1(y0, y1), y2), z1)) -> c10(MARK(cons(cons1(y0, y1), y2)))
   MARK(cons1(cons(2nd(cons(y0, y1)), y2), z1)) -> c10(MARK(cons(2nd(cons(y0, y1)), y2)))
   MARK(cons1(cons(2nd(s(y0)), y1), z1)) -> c10(MARK(cons(2nd(s(y0)), y1)))
   MARK(cons1(cons(2nd(2nd(2nd(y0))), y1), z1)) -> c10(MARK(cons(2nd(2nd(2nd(y0))), y1)))
   MARK(cons1(cons(2nd(2nd(from(y0))), y1), z1)) -> c10(MARK(cons(2nd(2nd(from(y0))), y1)))
   MARK(cons1(cons(2nd(2nd(cons(y0, y1))), y2), z1)) -> c10(MARK(cons(2nd(2nd(cons(y0, y1))), y2)))
   MARK(cons1(cons(2nd(2nd(s(y0))), y1), z1)) -> c10(MARK(cons(2nd(2nd(s(y0))), y1)))
   MARK(cons1(cons(2nd(2nd(cons1(y0, y1))), y2), z1)) -> c10(MARK(cons(2nd(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(cons(2nd(2nd(y0)), y1), z1)) -> c10(MARK(cons(2nd(2nd(y0)), y1)))
   MARK(cons1(cons(2nd(from(y0)), y1), z1)) -> c10(MARK(cons(2nd(from(y0)), y1)))
   MARK(cons1(cons(2nd(from(2nd(y0))), y1), z1)) -> c10(MARK(cons(2nd(from(2nd(y0))), y1)))
   MARK(cons1(cons(2nd(from(from(y0))), y1), z1)) -> c10(MARK(cons(2nd(from(from(y0))), y1)))
   MARK(cons1(cons(2nd(from(cons(y0, y1))), y2), z1)) -> c10(MARK(cons(2nd(from(cons(y0, y1))), y2)))
   MARK(cons1(cons(2nd(from(s(y0))), y1), z1)) -> c10(MARK(cons(2nd(from(s(y0))), y1)))
   MARK(cons1(cons(2nd(from(cons1(y0, y1))), y2), z1)) -> c10(MARK(cons(2nd(from(cons1(y0, y1))), y2)))
   MARK(cons1(cons(2nd(cons1(y0, 2nd(y1))), y2), z1)) -> c10(MARK(cons(2nd(cons1(y0, 2nd(y1))), y2)))
   MARK(cons1(cons(2nd(cons1(y0, from(y1))), y2), z1)) -> c10(MARK(cons(2nd(cons1(y0, from(y1))), y2)))
   MARK(cons1(cons(2nd(cons1(y0, cons(y1, y2))), y3), z1)) -> c10(MARK(cons(2nd(cons1(y0, cons(y1, y2))), y3)))
   MARK(cons1(cons(2nd(cons1(2nd(y0), y1)), y2), z1)) -> c10(MARK(cons(2nd(cons1(2nd(y0), y1)), y2)))
   MARK(cons1(cons(2nd(cons1(from(y0), y1)), y2), z1)) -> c10(MARK(cons(2nd(cons1(from(y0), y1)), y2)))
   MARK(cons1(cons(2nd(cons1(cons(y0, y1), y2)), y3), z1)) -> c10(MARK(cons(2nd(cons1(cons(y0, y1), y2)), y3)))
   MARK(cons1(cons(2nd(cons1(s(y0), y1)), y2), z1)) -> c10(MARK(cons(2nd(cons1(s(y0), y1)), y2)))
   MARK(cons1(cons(2nd(cons1(cons1(y0, y1), y2)), y3), z1)) -> c10(MARK(cons(2nd(cons1(cons1(y0, y1), y2)), y3)))
   MARK(cons1(cons(2nd(cons1(y0, y1)), y2), z1)) -> c10(MARK(cons(2nd(cons1(y0, y1)), y2)))
   MARK(cons1(cons(2nd(cons1(y0, s(y1))), y2), z1)) -> c10(MARK(cons(2nd(cons1(y0, s(y1))), y2)))
   MARK(cons1(cons(2nd(cons1(y0, cons1(y1, y2))), y3), z1)) -> c10(MARK(cons(2nd(cons1(y0, cons1(y1, y2))), y3)))
   MARK(cons1(cons(from(cons(y0, y1)), y2), z1)) -> c10(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(cons1(cons(from(s(y0)), y1), z1)) -> c10(MARK(cons(from(s(y0)), y1)))
   MARK(cons1(cons(from(cons1(y0, y1)), y2), z1)) -> c10(MARK(cons(from(cons1(y0, y1)), y2)))
   MARK(cons1(cons(from(2nd(y0)), y1), z1)) -> c10(MARK(cons(from(2nd(y0)), y1)))
   MARK(cons1(cons(from(2nd(2nd(y0))), y1), z1)) -> c10(MARK(cons(from(2nd(2nd(y0))), y1)))
   MARK(cons1(cons(from(2nd(from(y0))), y1), z1)) -> c10(MARK(cons(from(2nd(from(y0))), y1)))
   MARK(cons1(cons(from(2nd(cons(y0, y1))), y2), z1)) -> c10(MARK(cons(from(2nd(cons(y0, y1))), y2)))
   MARK(cons1(cons(from(2nd(s(y0))), y1), z1)) -> c10(MARK(cons(from(2nd(s(y0))), y1)))
   MARK(cons1(cons(from(2nd(cons1(y0, y1))), y2), z1)) -> c10(MARK(cons(from(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(cons(from(from(y0)), y1), z1)) -> c10(MARK(cons(from(from(y0)), y1)))
   MARK(cons1(cons(from(from(2nd(y0))), y1), z1)) -> c10(MARK(cons(from(from(2nd(y0))), y1)))
   MARK(cons1(cons(from(from(from(y0))), y1), z1)) -> c10(MARK(cons(from(from(from(y0))), y1)))
   MARK(cons1(cons(from(from(cons(y0, y1))), y2), z1)) -> c10(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(cons1(cons(from(from(s(y0))), y1), z1)) -> c10(MARK(cons(from(from(s(y0))), y1)))
   MARK(cons1(cons(from(from(cons1(y0, y1))), y2), z1)) -> c10(MARK(cons(from(from(cons1(y0, y1))), y2)))
   MARK(cons1(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons1(s(cons1(y0, y1)), z1)) -> c10(MARK(s(cons1(y0, y1))))
   MARK(cons1(s(2nd(cons(y0, y1))), z1)) -> c10(MARK(s(2nd(cons(y0, y1)))))
   MARK(cons1(s(2nd(s(y0))), z1)) -> c10(MARK(s(2nd(s(y0)))))
   MARK(cons1(s(2nd(2nd(2nd(y0)))), z1)) -> c10(MARK(s(2nd(2nd(2nd(y0))))))
   MARK(cons1(s(2nd(2nd(from(y0)))), z1)) -> c10(MARK(s(2nd(2nd(from(y0))))))
   MARK(cons1(s(2nd(2nd(cons(y0, y1)))), z1)) -> c10(MARK(s(2nd(2nd(cons(y0, y1))))))
   MARK(cons1(s(2nd(2nd(s(y0)))), z1)) -> c10(MARK(s(2nd(2nd(s(y0))))))
   MARK(cons1(s(2nd(2nd(cons1(y0, y1)))), z1)) -> c10(MARK(s(2nd(2nd(cons1(y0, y1))))))
   MARK(cons1(s(2nd(2nd(y0))), z1)) -> c10(MARK(s(2nd(2nd(y0)))))
   MARK(cons1(s(2nd(from(y0))), z1)) -> c10(MARK(s(2nd(from(y0)))))
   MARK(cons1(s(2nd(from(2nd(y0)))), z1)) -> c10(MARK(s(2nd(from(2nd(y0))))))
   MARK(cons1(s(2nd(from(from(y0)))), z1)) -> c10(MARK(s(2nd(from(from(y0))))))
   MARK(cons1(s(2nd(from(cons(y0, y1)))), z1)) -> c10(MARK(s(2nd(from(cons(y0, y1))))))
   MARK(cons1(s(2nd(from(s(y0)))), z1)) -> c10(MARK(s(2nd(from(s(y0))))))
   MARK(cons1(s(2nd(from(cons1(y0, y1)))), z1)) -> c10(MARK(s(2nd(from(cons1(y0, y1))))))
   MARK(cons1(s(2nd(cons1(y0, 2nd(y1)))), z1)) -> c10(MARK(s(2nd(cons1(y0, 2nd(y1))))))
   MARK(cons1(s(2nd(cons1(y0, from(y1)))), z1)) -> c10(MARK(s(2nd(cons1(y0, from(y1))))))
   MARK(cons1(s(2nd(cons1(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(2nd(cons1(y0, cons(y1, y2))))))
   MARK(cons1(s(2nd(cons1(2nd(y0), y1))), z1)) -> c10(MARK(s(2nd(cons1(2nd(y0), y1)))))
   MARK(cons1(s(2nd(cons1(from(y0), y1))), z1)) -> c10(MARK(s(2nd(cons1(from(y0), y1)))))
   MARK(cons1(s(2nd(cons1(cons(y0, y1), y2))), z1)) -> c10(MARK(s(2nd(cons1(cons(y0, y1), y2)))))
   MARK(cons1(s(2nd(cons1(s(y0), y1))), z1)) -> c10(MARK(s(2nd(cons1(s(y0), y1)))))
   MARK(cons1(s(2nd(cons1(cons1(y0, y1), y2))), z1)) -> c10(MARK(s(2nd(cons1(cons1(y0, y1), y2)))))
   MARK(cons1(s(2nd(cons1(y0, y1))), z1)) -> c10(MARK(s(2nd(cons1(y0, y1)))))
   MARK(cons1(s(2nd(cons1(y0, s(y1)))), z1)) -> c10(MARK(s(2nd(cons1(y0, s(y1))))))
   MARK(cons1(s(2nd(cons1(y0, cons1(y1, y2)))), z1)) -> c10(MARK(s(2nd(cons1(y0, cons1(y1, y2))))))
   MARK(cons1(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons1(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons1(s(from(cons1(y0, y1))), z1)) -> c10(MARK(s(from(cons1(y0, y1)))))
   MARK(cons1(s(from(2nd(y0))), z1)) -> c10(MARK(s(from(2nd(y0)))))
   MARK(cons1(s(from(2nd(2nd(y0)))), z1)) -> c10(MARK(s(from(2nd(2nd(y0))))))
   MARK(cons1(s(from(2nd(from(y0)))), z1)) -> c10(MARK(s(from(2nd(from(y0))))))
   MARK(cons1(s(from(2nd(cons(y0, y1)))), z1)) -> c10(MARK(s(from(2nd(cons(y0, y1))))))
   MARK(cons1(s(from(2nd(s(y0)))), z1)) -> c10(MARK(s(from(2nd(s(y0))))))
   MARK(cons1(s(from(2nd(cons1(y0, y1)))), z1)) -> c10(MARK(s(from(2nd(cons1(y0, y1))))))
   MARK(cons1(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons1(s(from(from(2nd(y0)))), z1)) -> c10(MARK(s(from(from(2nd(y0))))))
   MARK(cons1(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons1(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons1(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons1(s(from(from(cons1(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons1(y0, y1))))))
   MARK(cons1(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons1(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons1(s(cons(cons1(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons1(y0, y1), y2))))
   MARK(cons1(s(cons(2nd(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons(y0, y1)), y2))))
   MARK(cons1(s(cons(2nd(s(y0)), y1)), z1)) -> c10(MARK(s(cons(2nd(s(y0)), y1))))
   MARK(cons1(s(cons(2nd(2nd(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(2nd(y0))), y1))))
   MARK(cons1(s(cons(2nd(2nd(from(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(from(y0))), y1))))
   MARK(cons1(s(cons(2nd(2nd(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(2nd(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(2nd(s(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(s(y0))), y1))))
   MARK(cons1(s(cons(2nd(2nd(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(2nd(y0)), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(y0)), y1))))
   MARK(cons1(s(cons(2nd(from(y0)), y1)), z1)) -> c10(MARK(s(cons(2nd(from(y0)), y1))))
   MARK(cons1(s(cons(2nd(from(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(from(2nd(y0))), y1))))
   MARK(cons1(s(cons(2nd(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(from(from(y0))), y1))))
   MARK(cons1(s(cons(2nd(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(from(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(from(s(y0))), y1))))
   MARK(cons1(s(cons(2nd(from(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(from(cons1(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, 2nd(y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, 2nd(y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, from(y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, from(y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, cons(y1, y2))), y3))))
   MARK(cons1(s(cons(2nd(cons1(2nd(y0), y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(2nd(y0), y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(from(y0), y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(from(y0), y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(cons(y0, y1), y2)), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(cons(y0, y1), y2)), y3))))
   MARK(cons1(s(cons(2nd(cons1(s(y0), y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(s(y0), y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3))))
   MARK(cons1(s(cons(2nd(cons1(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, s(y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, s(y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3))))
   MARK(cons1(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons1(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons1(s(cons(from(cons1(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons1(y0, y1)), y2))))
   MARK(cons1(s(cons(from(2nd(y0)), y1)), z1)) -> c10(MARK(s(cons(from(2nd(y0)), y1))))
   MARK(cons1(s(cons(from(2nd(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(from(2nd(2nd(y0))), y1))))
   MARK(cons1(s(cons(from(2nd(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(2nd(from(y0))), y1))))
   MARK(cons1(s(cons(from(2nd(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(2nd(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(from(2nd(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(2nd(s(y0))), y1))))
   MARK(cons1(s(cons(from(2nd(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons1(s(cons(from(from(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(2nd(y0))), y1))))
   MARK(cons1(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons1(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons1(s(cons(from(from(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons1(y0, y1))), y2))))

----------------------------------------

(142)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
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   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
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   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
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   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
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   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
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   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
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   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
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   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
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   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
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   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
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   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
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   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
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   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(from(from(x0))) -> c7(A__FROM(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(2nd(z0)))) -> c7(A__FROM(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons1(z0, z1)))) -> c7(A__FROM(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(cons(cons(y0, y1), z1)) -> c8(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c8(MARK(s(y0)))
   MARK(cons(cons1(y0, y1), z1)) -> c8(MARK(cons1(y0, y1)))
   MARK(cons(2nd(cons(y0, y1)), z1)) -> c8(MARK(2nd(cons(y0, y1))))
   MARK(cons(2nd(s(y0)), z1)) -> c8(MARK(2nd(s(y0))))
   MARK(cons(2nd(2nd(2nd(y0))), z1)) -> c8(MARK(2nd(2nd(2nd(y0)))))
   MARK(cons(2nd(2nd(from(y0))), z1)) -> c8(MARK(2nd(2nd(from(y0)))))
   MARK(cons(2nd(2nd(cons(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(cons(2nd(2nd(s(y0))), z1)) -> c8(MARK(2nd(2nd(s(y0)))))
   MARK(cons(2nd(2nd(cons1(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(cons(2nd(2nd(y0)), z1)) -> c8(MARK(2nd(2nd(y0))))
   MARK(cons(2nd(from(y0)), z1)) -> c8(MARK(2nd(from(y0))))
   MARK(cons(2nd(from(2nd(y0))), z1)) -> c8(MARK(2nd(from(2nd(y0)))))
   MARK(cons(2nd(from(from(y0))), z1)) -> c8(MARK(2nd(from(from(y0)))))
   MARK(cons(2nd(from(cons(y0, y1))), z1)) -> c8(MARK(2nd(from(cons(y0, y1)))))
   MARK(cons(2nd(from(s(y0))), z1)) -> c8(MARK(2nd(from(s(y0)))))
   MARK(cons(2nd(from(cons1(y0, y1))), z1)) -> c8(MARK(2nd(from(cons1(y0, y1)))))
   MARK(cons(2nd(cons1(y0, 2nd(y1))), z1)) -> c8(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(cons(2nd(cons1(y0, from(y1))), z1)) -> c8(MARK(2nd(cons1(y0, from(y1)))))
   MARK(cons(2nd(cons1(y0, cons(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(cons(2nd(cons1(2nd(y0), y1)), z1)) -> c8(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(cons(2nd(cons1(from(y0), y1)), z1)) -> c8(MARK(2nd(cons1(from(y0), y1))))
   MARK(cons(2nd(cons1(cons(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(cons(2nd(cons1(s(y0), y1)), z1)) -> c8(MARK(2nd(cons1(s(y0), y1))))
   MARK(cons(2nd(cons1(cons1(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(cons(2nd(cons1(y0, y1)), z1)) -> c8(MARK(2nd(cons1(y0, y1))))
   MARK(cons(2nd(cons1(y0, s(y1))), z1)) -> c8(MARK(2nd(cons1(y0, s(y1)))))
   MARK(cons(2nd(cons1(y0, cons1(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(cons(from(cons(y0, y1)), z1)) -> c8(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c8(MARK(from(s(y0))))
   MARK(cons(from(cons1(y0, y1)), z1)) -> c8(MARK(from(cons1(y0, y1))))
   MARK(cons(from(2nd(y0)), z1)) -> c8(MARK(from(2nd(y0))))
   MARK(cons(from(2nd(2nd(y0))), z1)) -> c8(MARK(from(2nd(2nd(y0)))))
   MARK(cons(from(2nd(from(y0))), z1)) -> c8(MARK(from(2nd(from(y0)))))
   MARK(cons(from(2nd(cons(y0, y1))), z1)) -> c8(MARK(from(2nd(cons(y0, y1)))))
   MARK(cons(from(2nd(s(y0))), z1)) -> c8(MARK(from(2nd(s(y0)))))
   MARK(cons(from(2nd(cons1(y0, y1))), z1)) -> c8(MARK(from(2nd(cons1(y0, y1)))))
   MARK(cons(from(from(y0)), z1)) -> c8(MARK(from(from(y0))))
   MARK(cons(from(from(2nd(y0))), z1)) -> c8(MARK(from(from(2nd(y0)))))
   MARK(cons(from(from(from(y0))), z1)) -> c8(MARK(from(from(from(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c8(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c8(MARK(from(from(s(y0)))))
   MARK(cons(from(from(cons1(y0, y1))), z1)) -> c8(MARK(from(from(cons1(y0, y1)))))
   MARK(s(s(y0))) -> c9(MARK(s(y0)))
   MARK(s(cons1(y0, y1))) -> c9(MARK(cons1(y0, y1)))
   MARK(s(2nd(cons(y0, y1)))) -> c9(MARK(2nd(cons(y0, y1))))
   MARK(s(2nd(s(y0)))) -> c9(MARK(2nd(s(y0))))
   MARK(s(2nd(2nd(2nd(y0))))) -> c9(MARK(2nd(2nd(2nd(y0)))))
   MARK(s(2nd(2nd(from(y0))))) -> c9(MARK(2nd(2nd(from(y0)))))
   MARK(s(2nd(2nd(cons(y0, y1))))) -> c9(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(s(2nd(2nd(s(y0))))) -> c9(MARK(2nd(2nd(s(y0)))))
   MARK(s(2nd(2nd(cons1(y0, y1))))) -> c9(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(s(2nd(2nd(y0)))) -> c9(MARK(2nd(2nd(y0))))
   MARK(s(2nd(from(y0)))) -> c9(MARK(2nd(from(y0))))
   MARK(s(2nd(from(2nd(y0))))) -> c9(MARK(2nd(from(2nd(y0)))))
   MARK(s(2nd(from(from(y0))))) -> c9(MARK(2nd(from(from(y0)))))
   MARK(s(2nd(from(cons(y0, y1))))) -> c9(MARK(2nd(from(cons(y0, y1)))))
   MARK(s(2nd(from(s(y0))))) -> c9(MARK(2nd(from(s(y0)))))
   MARK(s(2nd(from(cons1(y0, y1))))) -> c9(MARK(2nd(from(cons1(y0, y1)))))
   MARK(s(2nd(cons1(y0, 2nd(y1))))) -> c9(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(s(2nd(cons1(y0, from(y1))))) -> c9(MARK(2nd(cons1(y0, from(y1)))))
   MARK(s(2nd(cons1(y0, cons(y1, y2))))) -> c9(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(s(2nd(cons1(2nd(y0), y1)))) -> c9(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(s(2nd(cons1(from(y0), y1)))) -> c9(MARK(2nd(cons1(from(y0), y1))))
   MARK(s(2nd(cons1(cons(y0, y1), y2)))) -> c9(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(s(2nd(cons1(s(y0), y1)))) -> c9(MARK(2nd(cons1(s(y0), y1))))
   MARK(s(2nd(cons1(cons1(y0, y1), y2)))) -> c9(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(s(2nd(cons1(y0, y1)))) -> c9(MARK(2nd(cons1(y0, y1))))
   MARK(s(2nd(cons1(y0, s(y1))))) -> c9(MARK(2nd(cons1(y0, s(y1)))))
   MARK(s(2nd(cons1(y0, cons1(y1, y2))))) -> c9(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(s(from(cons(y0, y1)))) -> c9(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c9(MARK(from(s(y0))))
   MARK(s(from(cons1(y0, y1)))) -> c9(MARK(from(cons1(y0, y1))))
   MARK(s(from(2nd(y0)))) -> c9(MARK(from(2nd(y0))))
   MARK(s(from(2nd(2nd(y0))))) -> c9(MARK(from(2nd(2nd(y0)))))
   MARK(s(from(2nd(from(y0))))) -> c9(MARK(from(2nd(from(y0)))))
   MARK(s(from(2nd(cons(y0, y1))))) -> c9(MARK(from(2nd(cons(y0, y1)))))
   MARK(s(from(2nd(s(y0))))) -> c9(MARK(from(2nd(s(y0)))))
   MARK(s(from(2nd(cons1(y0, y1))))) -> c9(MARK(from(2nd(cons1(y0, y1)))))
   MARK(s(from(from(y0)))) -> c9(MARK(from(from(y0))))
   MARK(s(from(from(2nd(y0))))) -> c9(MARK(from(from(2nd(y0)))))
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   MARK(cons1(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons1(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons1(s(cons(cons1(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons1(y0, y1), y2))))
   MARK(cons1(s(cons(2nd(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons(y0, y1)), y2))))
   MARK(cons1(s(cons(2nd(s(y0)), y1)), z1)) -> c10(MARK(s(cons(2nd(s(y0)), y1))))
   MARK(cons1(s(cons(2nd(2nd(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(2nd(y0))), y1))))
   MARK(cons1(s(cons(2nd(2nd(from(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(from(y0))), y1))))
   MARK(cons1(s(cons(2nd(2nd(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(2nd(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(2nd(s(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(s(y0))), y1))))
   MARK(cons1(s(cons(2nd(2nd(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(2nd(y0)), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(y0)), y1))))
   MARK(cons1(s(cons(2nd(from(y0)), y1)), z1)) -> c10(MARK(s(cons(2nd(from(y0)), y1))))
   MARK(cons1(s(cons(2nd(from(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(from(2nd(y0))), y1))))
   MARK(cons1(s(cons(2nd(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(from(from(y0))), y1))))
   MARK(cons1(s(cons(2nd(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(from(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(from(s(y0))), y1))))
   MARK(cons1(s(cons(2nd(from(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(from(cons1(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, 2nd(y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, 2nd(y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, from(y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, from(y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, cons(y1, y2))), y3))))
   MARK(cons1(s(cons(2nd(cons1(2nd(y0), y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(2nd(y0), y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(from(y0), y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(from(y0), y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(cons(y0, y1), y2)), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(cons(y0, y1), y2)), y3))))
   MARK(cons1(s(cons(2nd(cons1(s(y0), y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(s(y0), y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3))))
   MARK(cons1(s(cons(2nd(cons1(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, s(y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, s(y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3))))
   MARK(cons1(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons1(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons1(s(cons(from(cons1(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons1(y0, y1)), y2))))
   MARK(cons1(s(cons(from(2nd(y0)), y1)), z1)) -> c10(MARK(s(cons(from(2nd(y0)), y1))))
   MARK(cons1(s(cons(from(2nd(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(from(2nd(2nd(y0))), y1))))
   MARK(cons1(s(cons(from(2nd(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(2nd(from(y0))), y1))))
   MARK(cons1(s(cons(from(2nd(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(2nd(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(from(2nd(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(2nd(s(y0))), y1))))
   MARK(cons1(s(cons(from(2nd(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons1(s(cons(from(from(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(2nd(y0))), y1))))
   MARK(cons1(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons1(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons1(s(cons(from(from(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons1(y0, y1))), y2))))
S tuples:
   MARK(cons1(z0, z1)) -> c11(MARK(z1))
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
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   MARK(cons1(cons(2nd(from(cons(y0, y1))), y2), z1)) -> c10(MARK(cons(2nd(from(cons(y0, y1))), y2)))
   MARK(cons1(cons(2nd(from(s(y0))), y1), z1)) -> c10(MARK(cons(2nd(from(s(y0))), y1)))
   MARK(cons1(cons(2nd(from(cons1(y0, y1))), y2), z1)) -> c10(MARK(cons(2nd(from(cons1(y0, y1))), y2)))
   MARK(cons1(cons(2nd(cons1(y0, 2nd(y1))), y2), z1)) -> c10(MARK(cons(2nd(cons1(y0, 2nd(y1))), y2)))
   MARK(cons1(cons(2nd(cons1(y0, from(y1))), y2), z1)) -> c10(MARK(cons(2nd(cons1(y0, from(y1))), y2)))
   MARK(cons1(cons(2nd(cons1(y0, cons(y1, y2))), y3), z1)) -> c10(MARK(cons(2nd(cons1(y0, cons(y1, y2))), y3)))
   MARK(cons1(cons(2nd(cons1(2nd(y0), y1)), y2), z1)) -> c10(MARK(cons(2nd(cons1(2nd(y0), y1)), y2)))
   MARK(cons1(cons(2nd(cons1(from(y0), y1)), y2), z1)) -> c10(MARK(cons(2nd(cons1(from(y0), y1)), y2)))
   MARK(cons1(cons(2nd(cons1(cons(y0, y1), y2)), y3), z1)) -> c10(MARK(cons(2nd(cons1(cons(y0, y1), y2)), y3)))
   MARK(cons1(cons(2nd(cons1(s(y0), y1)), y2), z1)) -> c10(MARK(cons(2nd(cons1(s(y0), y1)), y2)))
   MARK(cons1(cons(2nd(cons1(cons1(y0, y1), y2)), y3), z1)) -> c10(MARK(cons(2nd(cons1(cons1(y0, y1), y2)), y3)))
   MARK(cons1(cons(2nd(cons1(y0, y1)), y2), z1)) -> c10(MARK(cons(2nd(cons1(y0, y1)), y2)))
   MARK(cons1(cons(2nd(cons1(y0, s(y1))), y2), z1)) -> c10(MARK(cons(2nd(cons1(y0, s(y1))), y2)))
   MARK(cons1(cons(2nd(cons1(y0, cons1(y1, y2))), y3), z1)) -> c10(MARK(cons(2nd(cons1(y0, cons1(y1, y2))), y3)))
   MARK(cons1(cons(from(cons(y0, y1)), y2), z1)) -> c10(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(cons1(cons(from(s(y0)), y1), z1)) -> c10(MARK(cons(from(s(y0)), y1)))
   MARK(cons1(cons(from(cons1(y0, y1)), y2), z1)) -> c10(MARK(cons(from(cons1(y0, y1)), y2)))
   MARK(cons1(cons(from(2nd(y0)), y1), z1)) -> c10(MARK(cons(from(2nd(y0)), y1)))
   MARK(cons1(cons(from(2nd(2nd(y0))), y1), z1)) -> c10(MARK(cons(from(2nd(2nd(y0))), y1)))
   MARK(cons1(cons(from(2nd(from(y0))), y1), z1)) -> c10(MARK(cons(from(2nd(from(y0))), y1)))
   MARK(cons1(cons(from(2nd(cons(y0, y1))), y2), z1)) -> c10(MARK(cons(from(2nd(cons(y0, y1))), y2)))
   MARK(cons1(cons(from(2nd(s(y0))), y1), z1)) -> c10(MARK(cons(from(2nd(s(y0))), y1)))
   MARK(cons1(cons(from(2nd(cons1(y0, y1))), y2), z1)) -> c10(MARK(cons(from(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(cons(from(from(y0)), y1), z1)) -> c10(MARK(cons(from(from(y0)), y1)))
   MARK(cons1(cons(from(from(2nd(y0))), y1), z1)) -> c10(MARK(cons(from(from(2nd(y0))), y1)))
   MARK(cons1(cons(from(from(from(y0))), y1), z1)) -> c10(MARK(cons(from(from(from(y0))), y1)))
   MARK(cons1(cons(from(from(cons(y0, y1))), y2), z1)) -> c10(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(cons1(cons(from(from(s(y0))), y1), z1)) -> c10(MARK(cons(from(from(s(y0))), y1)))
   MARK(cons1(cons(from(from(cons1(y0, y1))), y2), z1)) -> c10(MARK(cons(from(from(cons1(y0, y1))), y2)))
   MARK(cons1(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons1(s(cons1(y0, y1)), z1)) -> c10(MARK(s(cons1(y0, y1))))
   MARK(cons1(s(2nd(cons(y0, y1))), z1)) -> c10(MARK(s(2nd(cons(y0, y1)))))
   MARK(cons1(s(2nd(s(y0))), z1)) -> c10(MARK(s(2nd(s(y0)))))
   MARK(cons1(s(2nd(2nd(2nd(y0)))), z1)) -> c10(MARK(s(2nd(2nd(2nd(y0))))))
   MARK(cons1(s(2nd(2nd(from(y0)))), z1)) -> c10(MARK(s(2nd(2nd(from(y0))))))
   MARK(cons1(s(2nd(2nd(cons(y0, y1)))), z1)) -> c10(MARK(s(2nd(2nd(cons(y0, y1))))))
   MARK(cons1(s(2nd(2nd(s(y0)))), z1)) -> c10(MARK(s(2nd(2nd(s(y0))))))
   MARK(cons1(s(2nd(2nd(cons1(y0, y1)))), z1)) -> c10(MARK(s(2nd(2nd(cons1(y0, y1))))))
   MARK(cons1(s(2nd(2nd(y0))), z1)) -> c10(MARK(s(2nd(2nd(y0)))))
   MARK(cons1(s(2nd(from(y0))), z1)) -> c10(MARK(s(2nd(from(y0)))))
   MARK(cons1(s(2nd(from(2nd(y0)))), z1)) -> c10(MARK(s(2nd(from(2nd(y0))))))
   MARK(cons1(s(2nd(from(from(y0)))), z1)) -> c10(MARK(s(2nd(from(from(y0))))))
   MARK(cons1(s(2nd(from(cons(y0, y1)))), z1)) -> c10(MARK(s(2nd(from(cons(y0, y1))))))
   MARK(cons1(s(2nd(from(s(y0)))), z1)) -> c10(MARK(s(2nd(from(s(y0))))))
   MARK(cons1(s(2nd(from(cons1(y0, y1)))), z1)) -> c10(MARK(s(2nd(from(cons1(y0, y1))))))
   MARK(cons1(s(2nd(cons1(y0, 2nd(y1)))), z1)) -> c10(MARK(s(2nd(cons1(y0, 2nd(y1))))))
   MARK(cons1(s(2nd(cons1(y0, from(y1)))), z1)) -> c10(MARK(s(2nd(cons1(y0, from(y1))))))
   MARK(cons1(s(2nd(cons1(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(2nd(cons1(y0, cons(y1, y2))))))
   MARK(cons1(s(2nd(cons1(2nd(y0), y1))), z1)) -> c10(MARK(s(2nd(cons1(2nd(y0), y1)))))
   MARK(cons1(s(2nd(cons1(from(y0), y1))), z1)) -> c10(MARK(s(2nd(cons1(from(y0), y1)))))
   MARK(cons1(s(2nd(cons1(cons(y0, y1), y2))), z1)) -> c10(MARK(s(2nd(cons1(cons(y0, y1), y2)))))
   MARK(cons1(s(2nd(cons1(s(y0), y1))), z1)) -> c10(MARK(s(2nd(cons1(s(y0), y1)))))
   MARK(cons1(s(2nd(cons1(cons1(y0, y1), y2))), z1)) -> c10(MARK(s(2nd(cons1(cons1(y0, y1), y2)))))
   MARK(cons1(s(2nd(cons1(y0, y1))), z1)) -> c10(MARK(s(2nd(cons1(y0, y1)))))
   MARK(cons1(s(2nd(cons1(y0, s(y1)))), z1)) -> c10(MARK(s(2nd(cons1(y0, s(y1))))))
   MARK(cons1(s(2nd(cons1(y0, cons1(y1, y2)))), z1)) -> c10(MARK(s(2nd(cons1(y0, cons1(y1, y2))))))
   MARK(cons1(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons1(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons1(s(from(cons1(y0, y1))), z1)) -> c10(MARK(s(from(cons1(y0, y1)))))
   MARK(cons1(s(from(2nd(y0))), z1)) -> c10(MARK(s(from(2nd(y0)))))
   MARK(cons1(s(from(2nd(2nd(y0)))), z1)) -> c10(MARK(s(from(2nd(2nd(y0))))))
   MARK(cons1(s(from(2nd(from(y0)))), z1)) -> c10(MARK(s(from(2nd(from(y0))))))
   MARK(cons1(s(from(2nd(cons(y0, y1)))), z1)) -> c10(MARK(s(from(2nd(cons(y0, y1))))))
   MARK(cons1(s(from(2nd(s(y0)))), z1)) -> c10(MARK(s(from(2nd(s(y0))))))
   MARK(cons1(s(from(2nd(cons1(y0, y1)))), z1)) -> c10(MARK(s(from(2nd(cons1(y0, y1))))))
   MARK(cons1(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons1(s(from(from(2nd(y0)))), z1)) -> c10(MARK(s(from(from(2nd(y0))))))
   MARK(cons1(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons1(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons1(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons1(s(from(from(cons1(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons1(y0, y1))))))
   MARK(cons1(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons1(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons1(s(cons(cons1(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons1(y0, y1), y2))))
   MARK(cons1(s(cons(2nd(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons(y0, y1)), y2))))
   MARK(cons1(s(cons(2nd(s(y0)), y1)), z1)) -> c10(MARK(s(cons(2nd(s(y0)), y1))))
   MARK(cons1(s(cons(2nd(2nd(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(2nd(y0))), y1))))
   MARK(cons1(s(cons(2nd(2nd(from(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(from(y0))), y1))))
   MARK(cons1(s(cons(2nd(2nd(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(2nd(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(2nd(s(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(s(y0))), y1))))
   MARK(cons1(s(cons(2nd(2nd(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(2nd(y0)), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(y0)), y1))))
   MARK(cons1(s(cons(2nd(from(y0)), y1)), z1)) -> c10(MARK(s(cons(2nd(from(y0)), y1))))
   MARK(cons1(s(cons(2nd(from(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(from(2nd(y0))), y1))))
   MARK(cons1(s(cons(2nd(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(from(from(y0))), y1))))
   MARK(cons1(s(cons(2nd(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(from(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(from(s(y0))), y1))))
   MARK(cons1(s(cons(2nd(from(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(from(cons1(y0, y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, 2nd(y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, 2nd(y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, from(y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, from(y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, cons(y1, y2))), y3))))
   MARK(cons1(s(cons(2nd(cons1(2nd(y0), y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(2nd(y0), y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(from(y0), y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(from(y0), y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(cons(y0, y1), y2)), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(cons(y0, y1), y2)), y3))))
   MARK(cons1(s(cons(2nd(cons1(s(y0), y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(s(y0), y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3))))
   MARK(cons1(s(cons(2nd(cons1(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, y1)), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, s(y1))), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, s(y1))), y2))))
   MARK(cons1(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3))))
   MARK(cons1(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons1(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons1(s(cons(from(cons1(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons1(y0, y1)), y2))))
   MARK(cons1(s(cons(from(2nd(y0)), y1)), z1)) -> c10(MARK(s(cons(from(2nd(y0)), y1))))
   MARK(cons1(s(cons(from(2nd(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(from(2nd(2nd(y0))), y1))))
   MARK(cons1(s(cons(from(2nd(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(2nd(from(y0))), y1))))
   MARK(cons1(s(cons(from(2nd(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(2nd(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(from(2nd(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(2nd(s(y0))), y1))))
   MARK(cons1(s(cons(from(2nd(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons1(s(cons(from(from(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(2nd(y0))), y1))))
   MARK(cons1(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons1(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons1(s(cons(from(from(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons1(y0, y1))), y2))))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__2ND_1, A__FROM_1

Compound Symbols:   c11_1, c1_1, c2_1, c6_2, c6_1, c1_2, c2_2, c_1, c4_1, c7_2, c8_1, c9_1, c10_1


----------------------------------------

(143) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons1(z0, z1)) -> c11(MARK(z1)) by 
   MARK(cons1(z0, cons1(y0, y1))) -> c11(MARK(cons1(y0, y1)))
   MARK(cons1(z0, 2nd(cons(y0, y1)))) -> c11(MARK(2nd(cons(y0, y1))))
   MARK(cons1(z0, 2nd(s(y0)))) -> c11(MARK(2nd(s(y0))))
   MARK(cons1(z0, 2nd(2nd(2nd(y0))))) -> c11(MARK(2nd(2nd(2nd(y0)))))
   MARK(cons1(z0, 2nd(2nd(from(y0))))) -> c11(MARK(2nd(2nd(from(y0)))))
   MARK(cons1(z0, 2nd(2nd(cons(y0, y1))))) -> c11(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(cons1(z0, 2nd(2nd(s(y0))))) -> c11(MARK(2nd(2nd(s(y0)))))
   MARK(cons1(z0, 2nd(2nd(cons1(y0, y1))))) -> c11(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(cons1(z0, 2nd(2nd(y0)))) -> c11(MARK(2nd(2nd(y0))))
   MARK(cons1(z0, 2nd(from(y0)))) -> c11(MARK(2nd(from(y0))))
   MARK(cons1(z0, 2nd(from(2nd(y0))))) -> c11(MARK(2nd(from(2nd(y0)))))
   MARK(cons1(z0, 2nd(from(from(y0))))) -> c11(MARK(2nd(from(from(y0)))))
   MARK(cons1(z0, 2nd(from(cons(y0, y1))))) -> c11(MARK(2nd(from(cons(y0, y1)))))
   MARK(cons1(z0, 2nd(from(s(y0))))) -> c11(MARK(2nd(from(s(y0)))))
   MARK(cons1(z0, 2nd(from(cons1(y0, y1))))) -> c11(MARK(2nd(from(cons1(y0, y1)))))
   MARK(cons1(z0, 2nd(cons1(y0, 2nd(y1))))) -> c11(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(cons1(z0, 2nd(cons1(y0, from(y1))))) -> c11(MARK(2nd(cons1(y0, from(y1)))))
   MARK(cons1(z0, 2nd(cons1(y0, cons(y1, y2))))) -> c11(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(cons1(z0, 2nd(cons1(2nd(y0), y1)))) -> c11(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(cons1(z0, 2nd(cons1(from(y0), y1)))) -> c11(MARK(2nd(cons1(from(y0), y1))))
   MARK(cons1(z0, 2nd(cons1(cons(y0, y1), y2)))) -> c11(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(cons1(z0, 2nd(cons1(s(y0), y1)))) -> c11(MARK(2nd(cons1(s(y0), y1))))
   MARK(cons1(z0, 2nd(cons1(cons1(y0, y1), y2)))) -> c11(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(cons1(z0, 2nd(cons1(y0, y1)))) -> c11(MARK(2nd(cons1(y0, y1))))
   MARK(cons1(z0, 2nd(cons1(y0, s(y1))))) -> c11(MARK(2nd(cons1(y0, s(y1)))))
   MARK(cons1(z0, 2nd(cons1(y0, cons1(y1, y2))))) -> c11(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(cons1(z0, from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(cons1(z0, from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(cons1(z0, from(cons1(y0, y1)))) -> c11(MARK(from(cons1(y0, y1))))
   MARK(cons1(z0, from(2nd(y0)))) -> c11(MARK(from(2nd(y0))))
   MARK(cons1(z0, from(2nd(2nd(y0))))) -> c11(MARK(from(2nd(2nd(y0)))))
   MARK(cons1(z0, from(2nd(from(y0))))) -> c11(MARK(from(2nd(from(y0)))))
   MARK(cons1(z0, from(2nd(cons(y0, y1))))) -> c11(MARK(from(2nd(cons(y0, y1)))))
   MARK(cons1(z0, from(2nd(s(y0))))) -> c11(MARK(from(2nd(s(y0)))))
   MARK(cons1(z0, from(2nd(cons1(y0, y1))))) -> c11(MARK(from(2nd(cons1(y0, y1)))))
   MARK(cons1(z0, from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(cons1(z0, from(from(2nd(y0))))) -> c11(MARK(from(from(2nd(y0)))))
   MARK(cons1(z0, from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(cons1(z0, from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(cons1(z0, from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(cons1(z0, from(from(cons1(y0, y1))))) -> c11(MARK(from(from(cons1(y0, y1)))))
   MARK(cons1(z0, cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(cons1(z0, cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(cons1(z0, cons(cons1(y0, y1), y2))) -> c11(MARK(cons(cons1(y0, y1), y2)))
   MARK(cons1(z0, cons(2nd(cons(y0, y1)), y2))) -> c11(MARK(cons(2nd(cons(y0, y1)), y2)))
   MARK(cons1(z0, cons(2nd(s(y0)), y1))) -> c11(MARK(cons(2nd(s(y0)), y1)))
   MARK(cons1(z0, cons(2nd(2nd(2nd(y0))), y1))) -> c11(MARK(cons(2nd(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons(2nd(2nd(from(y0))), y1))) -> c11(MARK(cons(2nd(2nd(from(y0))), y1)))
   MARK(cons1(z0, cons(2nd(2nd(cons(y0, y1))), y2))) -> c11(MARK(cons(2nd(2nd(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons(2nd(2nd(s(y0))), y1))) -> c11(MARK(cons(2nd(2nd(s(y0))), y1)))
   MARK(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons(2nd(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons(2nd(2nd(y0)), y1))) -> c11(MARK(cons(2nd(2nd(y0)), y1)))
   MARK(cons1(z0, cons(2nd(from(y0)), y1))) -> c11(MARK(cons(2nd(from(y0)), y1)))
   MARK(cons1(z0, cons(2nd(from(2nd(y0))), y1))) -> c11(MARK(cons(2nd(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons(2nd(from(from(y0))), y1))) -> c11(MARK(cons(2nd(from(from(y0))), y1)))
   MARK(cons1(z0, cons(2nd(from(cons(y0, y1))), y2))) -> c11(MARK(cons(2nd(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons(2nd(from(s(y0))), y1))) -> c11(MARK(cons(2nd(from(s(y0))), y1)))
   MARK(cons1(z0, cons(2nd(from(cons1(y0, y1))), y2))) -> c11(MARK(cons(2nd(from(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), y2))) -> c11(MARK(cons(2nd(cons1(y0, 2nd(y1))), y2)))
   MARK(cons1(z0, cons(2nd(cons1(y0, from(y1))), y2))) -> c11(MARK(cons(2nd(cons1(y0, from(y1))), y2)))
   MARK(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(2nd(cons1(y0, cons(y1, y2))), y3)))
   MARK(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), y2))) -> c11(MARK(cons(2nd(cons1(2nd(y0), y1)), y2)))
   MARK(cons1(z0, cons(2nd(cons1(from(y0), y1)), y2))) -> c11(MARK(cons(2nd(cons1(from(y0), y1)), y2)))
   MARK(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), y3))) -> c11(MARK(cons(2nd(cons1(cons(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons(2nd(cons1(s(y0), y1)), y2))) -> c11(MARK(cons(2nd(cons1(s(y0), y1)), y2)))
   MARK(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), y3))) -> c11(MARK(cons(2nd(cons1(cons1(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons(2nd(cons1(y0, y1)), y2))) -> c11(MARK(cons(2nd(cons1(y0, y1)), y2)))
   MARK(cons1(z0, cons(2nd(cons1(y0, s(y1))), y2))) -> c11(MARK(cons(2nd(cons1(y0, s(y1))), y2)))
   MARK(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), y3))) -> c11(MARK(cons(2nd(cons1(y0, cons1(y1, y2))), y3)))
   MARK(cons1(z0, cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(cons1(z0, cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(cons1(z0, cons(from(cons1(y0, y1)), y2))) -> c11(MARK(cons(from(cons1(y0, y1)), y2)))
   MARK(cons1(z0, cons(from(2nd(y0)), y1))) -> c11(MARK(cons(from(2nd(y0)), y1)))
   MARK(cons1(z0, cons(from(2nd(2nd(y0))), y1))) -> c11(MARK(cons(from(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons(from(2nd(from(y0))), y1))) -> c11(MARK(cons(from(2nd(from(y0))), y1)))
   MARK(cons1(z0, cons(from(2nd(cons(y0, y1))), y2))) -> c11(MARK(cons(from(2nd(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons(from(2nd(s(y0))), y1))) -> c11(MARK(cons(from(2nd(s(y0))), y1)))
   MARK(cons1(z0, cons(from(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons(from(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(cons1(z0, cons(from(from(2nd(y0))), y1))) -> c11(MARK(cons(from(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(cons1(z0, cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(cons1(z0, cons(from(from(cons1(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons1(y0, y1))), y2)))
   MARK(cons1(z0, s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(cons1(z0, s(cons1(y0, y1)))) -> c11(MARK(s(cons1(y0, y1))))
   MARK(cons1(z0, s(2nd(cons(y0, y1))))) -> c11(MARK(s(2nd(cons(y0, y1)))))
   MARK(cons1(z0, s(2nd(s(y0))))) -> c11(MARK(s(2nd(s(y0)))))
   MARK(cons1(z0, s(2nd(2nd(2nd(y0)))))) -> c11(MARK(s(2nd(2nd(2nd(y0))))))
   MARK(cons1(z0, s(2nd(2nd(from(y0)))))) -> c11(MARK(s(2nd(2nd(from(y0))))))
   MARK(cons1(z0, s(2nd(2nd(cons(y0, y1)))))) -> c11(MARK(s(2nd(2nd(cons(y0, y1))))))
   MARK(cons1(z0, s(2nd(2nd(s(y0)))))) -> c11(MARK(s(2nd(2nd(s(y0))))))
   MARK(cons1(z0, s(2nd(2nd(cons1(y0, y1)))))) -> c11(MARK(s(2nd(2nd(cons1(y0, y1))))))
   MARK(cons1(z0, s(2nd(2nd(y0))))) -> c11(MARK(s(2nd(2nd(y0)))))
   MARK(cons1(z0, s(2nd(from(y0))))) -> c11(MARK(s(2nd(from(y0)))))
   MARK(cons1(z0, s(2nd(from(2nd(y0)))))) -> c11(MARK(s(2nd(from(2nd(y0))))))
   MARK(cons1(z0, s(2nd(from(from(y0)))))) -> c11(MARK(s(2nd(from(from(y0))))))
   MARK(cons1(z0, s(2nd(from(cons(y0, y1)))))) -> c11(MARK(s(2nd(from(cons(y0, y1))))))
   MARK(cons1(z0, s(2nd(from(s(y0)))))) -> c11(MARK(s(2nd(from(s(y0))))))
   MARK(cons1(z0, s(2nd(from(cons1(y0, y1)))))) -> c11(MARK(s(2nd(from(cons1(y0, y1))))))
   MARK(cons1(z0, s(2nd(cons1(y0, 2nd(y1)))))) -> c11(MARK(s(2nd(cons1(y0, 2nd(y1))))))
   MARK(cons1(z0, s(2nd(cons1(y0, from(y1)))))) -> c11(MARK(s(2nd(cons1(y0, from(y1))))))
   MARK(cons1(z0, s(2nd(cons1(y0, cons(y1, y2)))))) -> c11(MARK(s(2nd(cons1(y0, cons(y1, y2))))))
   MARK(cons1(z0, s(2nd(cons1(2nd(y0), y1))))) -> c11(MARK(s(2nd(cons1(2nd(y0), y1)))))
   MARK(cons1(z0, s(2nd(cons1(from(y0), y1))))) -> c11(MARK(s(2nd(cons1(from(y0), y1)))))
   MARK(cons1(z0, s(2nd(cons1(cons(y0, y1), y2))))) -> c11(MARK(s(2nd(cons1(cons(y0, y1), y2)))))
   MARK(cons1(z0, s(2nd(cons1(s(y0), y1))))) -> c11(MARK(s(2nd(cons1(s(y0), y1)))))
   MARK(cons1(z0, s(2nd(cons1(cons1(y0, y1), y2))))) -> c11(MARK(s(2nd(cons1(cons1(y0, y1), y2)))))
   MARK(cons1(z0, s(2nd(cons1(y0, y1))))) -> c11(MARK(s(2nd(cons1(y0, y1)))))
   MARK(cons1(z0, s(2nd(cons1(y0, s(y1)))))) -> c11(MARK(s(2nd(cons1(y0, s(y1))))))
   MARK(cons1(z0, s(2nd(cons1(y0, cons1(y1, y2)))))) -> c11(MARK(s(2nd(cons1(y0, cons1(y1, y2))))))
   MARK(cons1(z0, s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(cons1(z0, s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(cons1(z0, s(from(cons1(y0, y1))))) -> c11(MARK(s(from(cons1(y0, y1)))))
   MARK(cons1(z0, s(from(2nd(y0))))) -> c11(MARK(s(from(2nd(y0)))))
   MARK(cons1(z0, s(from(2nd(2nd(y0)))))) -> c11(MARK(s(from(2nd(2nd(y0))))))
   MARK(cons1(z0, s(from(2nd(from(y0)))))) -> c11(MARK(s(from(2nd(from(y0))))))
   MARK(cons1(z0, s(from(2nd(cons(y0, y1)))))) -> c11(MARK(s(from(2nd(cons(y0, y1))))))
   MARK(cons1(z0, s(from(2nd(s(y0)))))) -> c11(MARK(s(from(2nd(s(y0))))))
   MARK(cons1(z0, s(from(2nd(cons1(y0, y1)))))) -> c11(MARK(s(from(2nd(cons1(y0, y1))))))
   MARK(cons1(z0, s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(cons1(z0, s(from(from(2nd(y0)))))) -> c11(MARK(s(from(from(2nd(y0))))))
   MARK(cons1(z0, s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(cons1(z0, s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons1(z0, s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(cons1(z0, s(from(from(cons1(y0, y1)))))) -> c11(MARK(s(from(from(cons1(y0, y1))))))
   MARK(cons1(z0, s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons1(z0, s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(cons1(z0, s(cons(cons1(y0, y1), y2)))) -> c11(MARK(s(cons(cons1(y0, y1), y2))))
   MARK(cons1(z0, s(cons(2nd(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(2nd(cons(y0, y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(s(y0)), y1)))) -> c11(MARK(s(cons(2nd(s(y0)), y1))))
   MARK(cons1(z0, s(cons(2nd(2nd(2nd(y0))), y1)))) -> c11(MARK(s(cons(2nd(2nd(2nd(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(2nd(from(y0))), y1)))) -> c11(MARK(s(cons(2nd(2nd(from(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(2nd(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(2nd(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(2nd(s(y0))), y1)))) -> c11(MARK(s(cons(2nd(2nd(s(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(2nd(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(2nd(y0)), y1)))) -> c11(MARK(s(cons(2nd(2nd(y0)), y1))))
   MARK(cons1(z0, s(cons(2nd(from(y0)), y1)))) -> c11(MARK(s(cons(2nd(from(y0)), y1))))
   MARK(cons1(z0, s(cons(2nd(from(2nd(y0))), y1)))) -> c11(MARK(s(cons(2nd(from(2nd(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(from(from(y0))), y1)))) -> c11(MARK(s(cons(2nd(from(from(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(from(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(from(s(y0))), y1)))) -> c11(MARK(s(cons(2nd(from(s(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(from(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(from(cons1(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, 2nd(y1))), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, 2nd(y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, from(y1))), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, from(y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(2nd(cons1(y0, cons(y1, y2))), y3))))
   MARK(cons1(z0, s(cons(2nd(cons1(2nd(y0), y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(2nd(y0), y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(from(y0), y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(from(y0), y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(cons(y0, y1), y2)), y3)))) -> c11(MARK(s(cons(2nd(cons1(cons(y0, y1), y2)), y3))))
   MARK(cons1(z0, s(cons(2nd(cons1(s(y0), y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(s(y0), y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)))) -> c11(MARK(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, s(y1))), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, s(y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)))) -> c11(MARK(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3))))
   MARK(cons1(z0, s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons1(z0, s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons1(z0, s(cons(from(cons1(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons1(y0, y1)), y2))))
   MARK(cons1(z0, s(cons(from(2nd(y0)), y1)))) -> c11(MARK(s(cons(from(2nd(y0)), y1))))
   MARK(cons1(z0, s(cons(from(2nd(2nd(y0))), y1)))) -> c11(MARK(s(cons(from(2nd(2nd(y0))), y1))))
   MARK(cons1(z0, s(cons(from(2nd(from(y0))), y1)))) -> c11(MARK(s(cons(from(2nd(from(y0))), y1))))
   MARK(cons1(z0, s(cons(from(2nd(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(2nd(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(from(2nd(s(y0))), y1)))) -> c11(MARK(s(cons(from(2nd(s(y0))), y1))))
   MARK(cons1(z0, s(cons(from(2nd(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(from(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons1(z0, s(cons(from(from(2nd(y0))), y1)))) -> c11(MARK(s(cons(from(from(2nd(y0))), y1))))
   MARK(cons1(z0, s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons1(z0, s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons1(z0, s(cons(from(from(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons1(y0, y1))), y2))))
   MARK(cons1(z0, cons1(cons1(y0, y1), y2))) -> c11(MARK(cons1(cons1(y0, y1), y2)))
   MARK(cons1(z0, cons1(2nd(cons(y0, y1)), y2))) -> c11(MARK(cons1(2nd(cons(y0, y1)), y2)))
   MARK(cons1(z0, cons1(2nd(s(y0)), y1))) -> c11(MARK(cons1(2nd(s(y0)), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(2nd(y0))), y1))) -> c11(MARK(cons1(2nd(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(from(y0))), y1))) -> c11(MARK(cons1(2nd(2nd(from(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(cons(y0, y1))), y2))) -> c11(MARK(cons1(2nd(2nd(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(2nd(s(y0))), y1))) -> c11(MARK(cons1(2nd(2nd(s(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons1(2nd(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(2nd(y0)), y1))) -> c11(MARK(cons1(2nd(2nd(y0)), y1)))
   MARK(cons1(z0, cons1(2nd(from(y0)), y1))) -> c11(MARK(cons1(2nd(from(y0)), y1)))
   MARK(cons1(z0, cons1(2nd(from(2nd(y0))), y1))) -> c11(MARK(cons1(2nd(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(from(from(y0))), y1))) -> c11(MARK(cons1(2nd(from(from(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(from(cons(y0, y1))), y2))) -> c11(MARK(cons1(2nd(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(from(s(y0))), y1))) -> c11(MARK(cons1(2nd(from(s(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(from(cons1(y0, y1))), y2))) -> c11(MARK(cons1(2nd(from(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, 2nd(y1))), y2))) -> c11(MARK(cons1(2nd(cons1(y0, 2nd(y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, from(y1))), y2))) -> c11(MARK(cons1(2nd(cons1(y0, from(y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, cons(y1, y2))), y3))) -> c11(MARK(cons1(2nd(cons1(y0, cons(y1, y2))), y3)))
   MARK(cons1(z0, cons1(2nd(cons1(2nd(y0), y1)), y2))) -> c11(MARK(cons1(2nd(cons1(2nd(y0), y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(from(y0), y1)), y2))) -> c11(MARK(cons1(2nd(cons1(from(y0), y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(cons(y0, y1), y2)), y3))) -> c11(MARK(cons1(2nd(cons1(cons(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(2nd(cons1(s(y0), y1)), y2))) -> c11(MARK(cons1(2nd(cons1(s(y0), y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(cons1(y0, y1), y2)), y3))) -> c11(MARK(cons1(2nd(cons1(cons1(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, y1)), y2))) -> c11(MARK(cons1(2nd(cons1(y0, y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, s(y1))), y2))) -> c11(MARK(cons1(2nd(cons1(y0, s(y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, cons1(y1, y2))), y3))) -> c11(MARK(cons1(2nd(cons1(y0, cons1(y1, y2))), y3)))
   MARK(cons1(z0, cons1(from(cons(y0, y1)), y2))) -> c11(MARK(cons1(from(cons(y0, y1)), y2)))
   MARK(cons1(z0, cons1(from(s(y0)), y1))) -> c11(MARK(cons1(from(s(y0)), y1)))
   MARK(cons1(z0, cons1(from(cons1(y0, y1)), y2))) -> c11(MARK(cons1(from(cons1(y0, y1)), y2)))
   MARK(cons1(z0, cons1(from(2nd(y0)), y1))) -> c11(MARK(cons1(from(2nd(y0)), y1)))
   MARK(cons1(z0, cons1(from(2nd(2nd(y0))), y1))) -> c11(MARK(cons1(from(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(from(2nd(from(y0))), y1))) -> c11(MARK(cons1(from(2nd(from(y0))), y1)))
   MARK(cons1(z0, cons1(from(2nd(cons(y0, y1))), y2))) -> c11(MARK(cons1(from(2nd(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(from(2nd(s(y0))), y1))) -> c11(MARK(cons1(from(2nd(s(y0))), y1)))
   MARK(cons1(z0, cons1(from(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons1(from(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(from(from(y0)), y1))) -> c11(MARK(cons1(from(from(y0)), y1)))
   MARK(cons1(z0, cons1(from(from(2nd(y0))), y1))) -> c11(MARK(cons1(from(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(from(from(from(y0))), y1))) -> c11(MARK(cons1(from(from(from(y0))), y1)))
   MARK(cons1(z0, cons1(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons1(from(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(from(from(s(y0))), y1))) -> c11(MARK(cons1(from(from(s(y0))), y1)))
   MARK(cons1(z0, cons1(from(from(cons1(y0, y1))), y2))) -> c11(MARK(cons1(from(from(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(cons(cons(y0, y1), y2), y3))) -> c11(MARK(cons1(cons(cons(y0, y1), y2), y3)))
   MARK(cons1(z0, cons1(cons(s(y0), y1), y2))) -> c11(MARK(cons1(cons(s(y0), y1), y2)))
   MARK(cons1(z0, cons1(cons(cons1(y0, y1), y2), y3))) -> c11(MARK(cons1(cons(cons1(y0, y1), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(s(y0)), y1), y2))) -> c11(MARK(cons1(cons(2nd(s(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(2nd(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(2nd(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(y0)), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(y0)), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(from(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(from(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(from(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, 2nd(y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, 2nd(y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, from(y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, from(y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, cons(y1, y2))), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(y0, cons(y1, y2))), y3), y4)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(2nd(y0), y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(2nd(y0), y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(from(y0), y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(from(y0), y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(cons(y0, y1), y2)), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(cons(y0, y1), y2)), y3), y4)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(s(y0), y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(s(y0), y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(cons1(y0, y1), y2)), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(cons1(y0, y1), y2)), y3), y4)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, s(y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, s(y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, cons1(y1, y2))), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(y0, cons1(y1, y2))), y3), y4)))
   MARK(cons1(z0, cons1(cons(from(cons(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(from(cons(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(s(y0)), y1), y2))) -> c11(MARK(cons1(cons(from(s(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(cons1(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(from(cons1(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(2nd(y0)), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(2nd(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(2nd(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(2nd(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(from(y0)), y1), y2))) -> c11(MARK(cons1(cons(from(from(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(from(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(from(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(from(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(from(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(from(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(from(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(s(s(y0)), y1))) -> c11(MARK(cons1(s(s(y0)), y1)))
   MARK(cons1(z0, cons1(s(cons1(y0, y1)), y2))) -> c11(MARK(cons1(s(cons1(y0, y1)), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons(y0, y1))), y2))) -> c11(MARK(cons1(s(2nd(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(s(y0))), y1))) -> c11(MARK(cons1(s(2nd(s(y0))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(2nd(y0)))), y1))) -> c11(MARK(cons1(s(2nd(2nd(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(from(y0)))), y1))) -> c11(MARK(cons1(s(2nd(2nd(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(2nd(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(2nd(s(y0)))), y1))) -> c11(MARK(cons1(s(2nd(2nd(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(2nd(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(2nd(y0))), y1))) -> c11(MARK(cons1(s(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(y0))), y1))) -> c11(MARK(cons1(s(2nd(from(y0))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(2nd(y0)))), y1))) -> c11(MARK(cons1(s(2nd(from(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(from(y0)))), y1))) -> c11(MARK(cons1(s(2nd(from(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(from(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(from(s(y0)))), y1))) -> c11(MARK(cons1(s(2nd(from(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(from(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, 2nd(y1)))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, 2nd(y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, from(y1)))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, from(y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, cons(y1, y2)))), y3))) -> c11(MARK(cons1(s(2nd(cons1(y0, cons(y1, y2)))), y3)))
   MARK(cons1(z0, cons1(s(2nd(cons1(2nd(y0), y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(2nd(y0), y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(from(y0), y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(from(y0), y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(cons(y0, y1), y2))), y3))) -> c11(MARK(cons1(s(2nd(cons1(cons(y0, y1), y2))), y3)))
   MARK(cons1(z0, cons1(s(2nd(cons1(s(y0), y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(s(y0), y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(cons1(y0, y1), y2))), y3))) -> c11(MARK(cons1(s(2nd(cons1(cons1(y0, y1), y2))), y3)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, s(y1)))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, s(y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, cons1(y1, y2)))), y3))) -> c11(MARK(cons1(s(2nd(cons1(y0, cons1(y1, y2)))), y3)))
   MARK(cons1(z0, cons1(s(from(cons(y0, y1))), y2))) -> c11(MARK(cons1(s(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(from(s(y0))), y1))) -> c11(MARK(cons1(s(from(s(y0))), y1)))
   MARK(cons1(z0, cons1(s(from(cons1(y0, y1))), y2))) -> c11(MARK(cons1(s(from(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(from(2nd(y0))), y1))) -> c11(MARK(cons1(s(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(2nd(y0)))), y1))) -> c11(MARK(cons1(s(from(2nd(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(from(y0)))), y1))) -> c11(MARK(cons1(s(from(2nd(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(2nd(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(from(2nd(s(y0)))), y1))) -> c11(MARK(cons1(s(from(2nd(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(2nd(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(from(from(y0))), y1))) -> c11(MARK(cons1(s(from(from(y0))), y1)))
   MARK(cons1(z0, cons1(s(from(from(2nd(y0)))), y1))) -> c11(MARK(cons1(s(from(from(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(from(from(y0)))), y1))) -> c11(MARK(cons1(s(from(from(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(from(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(from(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(from(from(s(y0)))), y1))) -> c11(MARK(cons1(s(from(from(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(from(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(from(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(cons(cons(y0, y1), y2)), y3))) -> c11(MARK(cons1(s(cons(cons(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(s(y0), y1)), y2))) -> c11(MARK(cons1(s(cons(s(y0), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(cons1(y0, y1), y2)), y3))) -> c11(MARK(cons1(s(cons(cons1(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(s(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(s(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(2nd(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(2nd(cons1(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(from(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(from(cons1(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, 2nd(y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, 2nd(y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, from(y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, from(y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, cons(y1, y2))), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, cons(y1, y2))), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(2nd(y0), y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(2nd(y0), y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(from(y0), y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(from(y0), y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(cons(y0, y1), y2)), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(cons(y0, y1), y2)), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(s(y0), y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(s(y0), y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, s(y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, s(y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(from(cons(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(from(cons(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(s(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(from(s(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(cons1(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(from(cons1(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(2nd(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(2nd(cons1(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(from(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(from(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(from(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(from(cons1(y0, y1))), y2)), y3)))

----------------------------------------

(144)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__2nd(cons1(z0, cons(z1, z2))) -> mark(z1)
   a__2nd(cons(z0, z1)) -> a__2nd(cons1(mark(z0), mark(z1)))
   a__2nd(z0) -> 2nd(z0)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(2nd(z0)) -> a__2nd(mark(z0))
   mark(from(z0)) -> a__from(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(cons1(z0, z1)) -> cons1(mark(z0), mark(z1))
Tuples:
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(2nd(2nd(z0))))
   A__2ND(cons(2nd(from(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(2nd(from(z0))))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(2nd(s(z0)), x1)) -> c1(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(2nd(s(z0))))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(x0), s(z0))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c1(MARK(2nd(x0)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(x0), x1)) -> c1(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(from(x0)))
   A__2ND(cons(from(2nd(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(from(2nd(z0))))
   A__2ND(cons(from(from(z0)), x1)) -> c1(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(from(from(z0))))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(from(cons(z0, z1))))
   A__2ND(cons(from(s(z0)), x1)) -> c1(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(from(s(z0))))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(from(x0), x1)) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), s(z0))) -> c1(MARK(from(x0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c1(MARK(from(x0)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(x0, x1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(cons(2nd(z0), x1)))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(cons(from(z0), x1)))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(cons(cons(z0, z1), x1)))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(cons(s(z0), x1)))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(cons(cons1(z0, z1), x1)))
   A__2ND(cons(cons(x0, x1), x2)) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c1(MARK(cons(x0, x1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c1(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(s(x0)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c1(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(s(2nd(z0))))
   A__2ND(cons(s(from(z0)), x1)) -> c1(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(s(from(z0))))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(s(cons(z0, z1))))
   A__2ND(cons(s(s(z0)), x1)) -> c1(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(s(s(z0))))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c1(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(s(cons1(z0, z1))))
   A__2ND(cons(s(x0), x1)) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), s(z0))) -> c1(MARK(s(x0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c1(MARK(s(x0)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c1(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(cons1(x0, 2nd(z0))))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(cons1(x0, from(z0))))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(cons1(x0, cons(z0, z1))))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(cons1(x0, s(z0))))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c1(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(2nd(z0), x1)))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(from(z0), x1)))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(cons1(cons(z0, z1), x1)))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c1(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(cons1(s(z0), x1)))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c1(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(cons1(cons1(z0, z1), x1)))
   A__2ND(cons(cons1(x0, x1), x2)) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c1(MARK(cons1(x0, x1)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(2nd(2nd(z0))))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(2nd(from(z0))))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(2nd(cons(z0, z1))))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(2nd(s(z0))))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(2nd(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(2nd(x1)))
   A__2ND(cons(x0, 2nd(x1))) -> c2(MARK(2nd(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(from(x1)))
   A__2ND(cons(x0, from(2nd(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(from(2nd(z0))))
   A__2ND(cons(x0, from(from(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(from(from(z0))))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(from(cons(z0, z1))))
   A__2ND(cons(x0, from(s(z0)))) -> c2(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(from(s(z0))))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c2(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(from(cons1(z0, z1))))
   A__2ND(cons(2nd(z0), from(x1))) -> c2(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(from(z0), from(x1))) -> c2(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(s(z0), from(x1))) -> c2(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c2(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(from(x1)))
   A__2ND(cons(x0, from(x1))) -> c2(MARK(from(x1)))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(2nd(x0), x1)) -> c2(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(s(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(2nd(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons(mark(x0), x1), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons(mark(z0), z1), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(2nd(2nd(cons(z0, z1)))) -> c6(A__2ND(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
   MARK(2nd(cons1(x0, cons(z0, z1)))) -> c6(A__2ND(cons1(mark(x0), cons(mark(z0), z1))), MARK(cons1(x0, cons(z0, z1))))
   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(from(from(x0))) -> c7(A__FROM(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(2nd(z0)))) -> c7(A__FROM(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons1(z0, z1)))) -> c7(A__FROM(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(cons(cons(y0, y1), z1)) -> c8(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c8(MARK(s(y0)))
   MARK(cons(cons1(y0, y1), z1)) -> c8(MARK(cons1(y0, y1)))
   MARK(cons(2nd(cons(y0, y1)), z1)) -> c8(MARK(2nd(cons(y0, y1))))
   MARK(cons(2nd(s(y0)), z1)) -> c8(MARK(2nd(s(y0))))
   MARK(cons(2nd(2nd(2nd(y0))), z1)) -> c8(MARK(2nd(2nd(2nd(y0)))))
   MARK(cons(2nd(2nd(from(y0))), z1)) -> c8(MARK(2nd(2nd(from(y0)))))
   MARK(cons(2nd(2nd(cons(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(cons(2nd(2nd(s(y0))), z1)) -> c8(MARK(2nd(2nd(s(y0)))))
   MARK(cons(2nd(2nd(cons1(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(cons(2nd(2nd(y0)), z1)) -> c8(MARK(2nd(2nd(y0))))
   MARK(cons(2nd(from(y0)), z1)) -> c8(MARK(2nd(from(y0))))
   MARK(cons(2nd(from(2nd(y0))), z1)) -> c8(MARK(2nd(from(2nd(y0)))))
   MARK(cons(2nd(from(from(y0))), z1)) -> c8(MARK(2nd(from(from(y0)))))
   MARK(cons(2nd(from(cons(y0, y1))), z1)) -> c8(MARK(2nd(from(cons(y0, y1)))))
   MARK(cons(2nd(from(s(y0))), z1)) -> c8(MARK(2nd(from(s(y0)))))
   MARK(cons(2nd(from(cons1(y0, y1))), z1)) -> c8(MARK(2nd(from(cons1(y0, y1)))))
   MARK(cons(2nd(cons1(y0, 2nd(y1))), z1)) -> c8(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(cons(2nd(cons1(y0, from(y1))), z1)) -> c8(MARK(2nd(cons1(y0, from(y1)))))
   MARK(cons(2nd(cons1(y0, cons(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(cons(2nd(cons1(2nd(y0), y1)), z1)) -> c8(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(cons(2nd(cons1(from(y0), y1)), z1)) -> c8(MARK(2nd(cons1(from(y0), y1))))
   MARK(cons(2nd(cons1(cons(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(cons(2nd(cons1(s(y0), y1)), z1)) -> c8(MARK(2nd(cons1(s(y0), y1))))
   MARK(cons(2nd(cons1(cons1(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(cons(2nd(cons1(y0, y1)), z1)) -> c8(MARK(2nd(cons1(y0, y1))))
   MARK(cons(2nd(cons1(y0, s(y1))), z1)) -> c8(MARK(2nd(cons1(y0, s(y1)))))
   MARK(cons(2nd(cons1(y0, cons1(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(cons(from(cons(y0, y1)), z1)) -> c8(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c8(MARK(from(s(y0))))
   MARK(cons(from(cons1(y0, y1)), z1)) -> c8(MARK(from(cons1(y0, y1))))
   MARK(cons(from(2nd(y0)), z1)) -> c8(MARK(from(2nd(y0))))
   MARK(cons(from(2nd(2nd(y0))), z1)) -> c8(MARK(from(2nd(2nd(y0)))))
   MARK(cons(from(2nd(from(y0))), z1)) -> c8(MARK(from(2nd(from(y0)))))
   MARK(cons(from(2nd(cons(y0, y1))), z1)) -> c8(MARK(from(2nd(cons(y0, y1)))))
   MARK(cons(from(2nd(s(y0))), z1)) -> c8(MARK(from(2nd(s(y0)))))
   MARK(cons(from(2nd(cons1(y0, y1))), z1)) -> c8(MARK(from(2nd(cons1(y0, y1)))))
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   MARK(cons1(s(from(2nd(from(y0)))), z1)) -> c10(MARK(s(from(2nd(from(y0))))))
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   MARK(cons1(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
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   MARK(cons1(s(cons(2nd(2nd(from(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(from(y0))), y1))))
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   MARK(cons1(s(cons(2nd(2nd(y0)), y1)), z1)) -> c10(MARK(s(cons(2nd(2nd(y0)), y1))))
   MARK(cons1(s(cons(2nd(from(y0)), y1)), z1)) -> c10(MARK(s(cons(2nd(from(y0)), y1))))
   MARK(cons1(s(cons(2nd(from(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(from(2nd(y0))), y1))))
   MARK(cons1(s(cons(2nd(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(2nd(from(from(y0))), y1))))
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   MARK(cons1(s(cons(2nd(cons1(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, y1)), y2))))
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   MARK(cons1(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3))))
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   MARK(cons1(s(cons(from(cons1(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons1(y0, y1)), y2))))
   MARK(cons1(s(cons(from(2nd(y0)), y1)), z1)) -> c10(MARK(s(cons(from(2nd(y0)), y1))))
   MARK(cons1(s(cons(from(2nd(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(from(2nd(2nd(y0))), y1))))
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   MARK(cons1(s(cons(from(2nd(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(2nd(cons(y0, y1))), y2))))
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   MARK(cons1(s(cons(from(from(2nd(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(2nd(y0))), y1))))
   MARK(cons1(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons1(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons1(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons1(s(cons(from(from(cons1(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons1(y0, y1))), y2))))
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   MARK(cons1(z0, 2nd(s(y0)))) -> c11(MARK(2nd(s(y0))))
   MARK(cons1(z0, 2nd(2nd(2nd(y0))))) -> c11(MARK(2nd(2nd(2nd(y0)))))
   MARK(cons1(z0, 2nd(2nd(from(y0))))) -> c11(MARK(2nd(2nd(from(y0)))))
   MARK(cons1(z0, 2nd(2nd(cons(y0, y1))))) -> c11(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(cons1(z0, 2nd(2nd(s(y0))))) -> c11(MARK(2nd(2nd(s(y0)))))
   MARK(cons1(z0, 2nd(2nd(cons1(y0, y1))))) -> c11(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(cons1(z0, 2nd(2nd(y0)))) -> c11(MARK(2nd(2nd(y0))))
   MARK(cons1(z0, 2nd(from(y0)))) -> c11(MARK(2nd(from(y0))))
   MARK(cons1(z0, 2nd(from(2nd(y0))))) -> c11(MARK(2nd(from(2nd(y0)))))
   MARK(cons1(z0, 2nd(from(from(y0))))) -> c11(MARK(2nd(from(from(y0)))))
   MARK(cons1(z0, 2nd(from(cons(y0, y1))))) -> c11(MARK(2nd(from(cons(y0, y1)))))
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   MARK(cons1(z0, 2nd(from(cons1(y0, y1))))) -> c11(MARK(2nd(from(cons1(y0, y1)))))
   MARK(cons1(z0, 2nd(cons1(y0, 2nd(y1))))) -> c11(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(cons1(z0, 2nd(cons1(y0, from(y1))))) -> c11(MARK(2nd(cons1(y0, from(y1)))))
   MARK(cons1(z0, 2nd(cons1(y0, cons(y1, y2))))) -> c11(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(cons1(z0, 2nd(cons1(2nd(y0), y1)))) -> c11(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(cons1(z0, 2nd(cons1(from(y0), y1)))) -> c11(MARK(2nd(cons1(from(y0), y1))))
   MARK(cons1(z0, 2nd(cons1(cons(y0, y1), y2)))) -> c11(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(cons1(z0, 2nd(cons1(s(y0), y1)))) -> c11(MARK(2nd(cons1(s(y0), y1))))
   MARK(cons1(z0, 2nd(cons1(cons1(y0, y1), y2)))) -> c11(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(cons1(z0, 2nd(cons1(y0, y1)))) -> c11(MARK(2nd(cons1(y0, y1))))
   MARK(cons1(z0, 2nd(cons1(y0, s(y1))))) -> c11(MARK(2nd(cons1(y0, s(y1)))))
   MARK(cons1(z0, 2nd(cons1(y0, cons1(y1, y2))))) -> c11(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(cons1(z0, from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(cons1(z0, from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(cons1(z0, from(cons1(y0, y1)))) -> c11(MARK(from(cons1(y0, y1))))
   MARK(cons1(z0, from(2nd(y0)))) -> c11(MARK(from(2nd(y0))))
   MARK(cons1(z0, from(2nd(2nd(y0))))) -> c11(MARK(from(2nd(2nd(y0)))))
   MARK(cons1(z0, from(2nd(from(y0))))) -> c11(MARK(from(2nd(from(y0)))))
   MARK(cons1(z0, from(2nd(cons(y0, y1))))) -> c11(MARK(from(2nd(cons(y0, y1)))))
   MARK(cons1(z0, from(2nd(s(y0))))) -> c11(MARK(from(2nd(s(y0)))))
   MARK(cons1(z0, from(2nd(cons1(y0, y1))))) -> c11(MARK(from(2nd(cons1(y0, y1)))))
   MARK(cons1(z0, from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(cons1(z0, from(from(2nd(y0))))) -> c11(MARK(from(from(2nd(y0)))))
   MARK(cons1(z0, from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(cons1(z0, from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(cons1(z0, from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(cons1(z0, from(from(cons1(y0, y1))))) -> c11(MARK(from(from(cons1(y0, y1)))))
   MARK(cons1(z0, cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
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   MARK(cons1(z0, cons(cons1(y0, y1), y2))) -> c11(MARK(cons(cons1(y0, y1), y2)))
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   MARK(cons1(z0, cons(2nd(s(y0)), y1))) -> c11(MARK(cons(2nd(s(y0)), y1)))
   MARK(cons1(z0, cons(2nd(2nd(2nd(y0))), y1))) -> c11(MARK(cons(2nd(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons(2nd(2nd(from(y0))), y1))) -> c11(MARK(cons(2nd(2nd(from(y0))), y1)))
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   MARK(cons1(z0, cons(2nd(2nd(y0)), y1))) -> c11(MARK(cons(2nd(2nd(y0)), y1)))
   MARK(cons1(z0, cons(2nd(from(y0)), y1))) -> c11(MARK(cons(2nd(from(y0)), y1)))
   MARK(cons1(z0, cons(2nd(from(2nd(y0))), y1))) -> c11(MARK(cons(2nd(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons(2nd(from(from(y0))), y1))) -> c11(MARK(cons(2nd(from(from(y0))), y1)))
   MARK(cons1(z0, cons(2nd(from(cons(y0, y1))), y2))) -> c11(MARK(cons(2nd(from(cons(y0, y1))), y2)))
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   MARK(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), y2))) -> c11(MARK(cons(2nd(cons1(y0, 2nd(y1))), y2)))
   MARK(cons1(z0, cons(2nd(cons1(y0, from(y1))), y2))) -> c11(MARK(cons(2nd(cons1(y0, from(y1))), y2)))
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   MARK(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), y2))) -> c11(MARK(cons(2nd(cons1(2nd(y0), y1)), y2)))
   MARK(cons1(z0, cons(2nd(cons1(from(y0), y1)), y2))) -> c11(MARK(cons(2nd(cons1(from(y0), y1)), y2)))
   MARK(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), y3))) -> c11(MARK(cons(2nd(cons1(cons(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons(2nd(cons1(s(y0), y1)), y2))) -> c11(MARK(cons(2nd(cons1(s(y0), y1)), y2)))
   MARK(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), y3))) -> c11(MARK(cons(2nd(cons1(cons1(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons(2nd(cons1(y0, y1)), y2))) -> c11(MARK(cons(2nd(cons1(y0, y1)), y2)))
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   MARK(cons1(z0, cons(from(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons(from(2nd(cons1(y0, y1))), y2)))
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   MARK(cons1(z0, cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(cons1(z0, cons(from(from(cons1(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons1(y0, y1))), y2)))
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   MARK(cons1(z0, s(cons1(y0, y1)))) -> c11(MARK(s(cons1(y0, y1))))
   MARK(cons1(z0, s(2nd(cons(y0, y1))))) -> c11(MARK(s(2nd(cons(y0, y1)))))
   MARK(cons1(z0, s(2nd(s(y0))))) -> c11(MARK(s(2nd(s(y0)))))
   MARK(cons1(z0, s(2nd(2nd(2nd(y0)))))) -> c11(MARK(s(2nd(2nd(2nd(y0))))))
   MARK(cons1(z0, s(2nd(2nd(from(y0)))))) -> c11(MARK(s(2nd(2nd(from(y0))))))
   MARK(cons1(z0, s(2nd(2nd(cons(y0, y1)))))) -> c11(MARK(s(2nd(2nd(cons(y0, y1))))))
   MARK(cons1(z0, s(2nd(2nd(s(y0)))))) -> c11(MARK(s(2nd(2nd(s(y0))))))
   MARK(cons1(z0, s(2nd(2nd(cons1(y0, y1)))))) -> c11(MARK(s(2nd(2nd(cons1(y0, y1))))))
   MARK(cons1(z0, s(2nd(2nd(y0))))) -> c11(MARK(s(2nd(2nd(y0)))))
   MARK(cons1(z0, s(2nd(from(y0))))) -> c11(MARK(s(2nd(from(y0)))))
   MARK(cons1(z0, s(2nd(from(2nd(y0)))))) -> c11(MARK(s(2nd(from(2nd(y0))))))
   MARK(cons1(z0, s(2nd(from(from(y0)))))) -> c11(MARK(s(2nd(from(from(y0))))))
   MARK(cons1(z0, s(2nd(from(cons(y0, y1)))))) -> c11(MARK(s(2nd(from(cons(y0, y1))))))
   MARK(cons1(z0, s(2nd(from(s(y0)))))) -> c11(MARK(s(2nd(from(s(y0))))))
   MARK(cons1(z0, s(2nd(from(cons1(y0, y1)))))) -> c11(MARK(s(2nd(from(cons1(y0, y1))))))
   MARK(cons1(z0, s(2nd(cons1(y0, 2nd(y1)))))) -> c11(MARK(s(2nd(cons1(y0, 2nd(y1))))))
   MARK(cons1(z0, s(2nd(cons1(y0, from(y1)))))) -> c11(MARK(s(2nd(cons1(y0, from(y1))))))
   MARK(cons1(z0, s(2nd(cons1(y0, cons(y1, y2)))))) -> c11(MARK(s(2nd(cons1(y0, cons(y1, y2))))))
   MARK(cons1(z0, s(2nd(cons1(2nd(y0), y1))))) -> c11(MARK(s(2nd(cons1(2nd(y0), y1)))))
   MARK(cons1(z0, s(2nd(cons1(from(y0), y1))))) -> c11(MARK(s(2nd(cons1(from(y0), y1)))))
   MARK(cons1(z0, s(2nd(cons1(cons(y0, y1), y2))))) -> c11(MARK(s(2nd(cons1(cons(y0, y1), y2)))))
   MARK(cons1(z0, s(2nd(cons1(s(y0), y1))))) -> c11(MARK(s(2nd(cons1(s(y0), y1)))))
   MARK(cons1(z0, s(2nd(cons1(cons1(y0, y1), y2))))) -> c11(MARK(s(2nd(cons1(cons1(y0, y1), y2)))))
   MARK(cons1(z0, s(2nd(cons1(y0, y1))))) -> c11(MARK(s(2nd(cons1(y0, y1)))))
   MARK(cons1(z0, s(2nd(cons1(y0, s(y1)))))) -> c11(MARK(s(2nd(cons1(y0, s(y1))))))
   MARK(cons1(z0, s(2nd(cons1(y0, cons1(y1, y2)))))) -> c11(MARK(s(2nd(cons1(y0, cons1(y1, y2))))))
   MARK(cons1(z0, s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(cons1(z0, s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(cons1(z0, s(from(cons1(y0, y1))))) -> c11(MARK(s(from(cons1(y0, y1)))))
   MARK(cons1(z0, s(from(2nd(y0))))) -> c11(MARK(s(from(2nd(y0)))))
   MARK(cons1(z0, s(from(2nd(2nd(y0)))))) -> c11(MARK(s(from(2nd(2nd(y0))))))
   MARK(cons1(z0, s(from(2nd(from(y0)))))) -> c11(MARK(s(from(2nd(from(y0))))))
   MARK(cons1(z0, s(from(2nd(cons(y0, y1)))))) -> c11(MARK(s(from(2nd(cons(y0, y1))))))
   MARK(cons1(z0, s(from(2nd(s(y0)))))) -> c11(MARK(s(from(2nd(s(y0))))))
   MARK(cons1(z0, s(from(2nd(cons1(y0, y1)))))) -> c11(MARK(s(from(2nd(cons1(y0, y1))))))
   MARK(cons1(z0, s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(cons1(z0, s(from(from(2nd(y0)))))) -> c11(MARK(s(from(from(2nd(y0))))))
   MARK(cons1(z0, s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(cons1(z0, s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons1(z0, s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(cons1(z0, s(from(from(cons1(y0, y1)))))) -> c11(MARK(s(from(from(cons1(y0, y1))))))
   MARK(cons1(z0, s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons1(z0, s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(cons1(z0, s(cons(cons1(y0, y1), y2)))) -> c11(MARK(s(cons(cons1(y0, y1), y2))))
   MARK(cons1(z0, s(cons(2nd(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(2nd(cons(y0, y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(s(y0)), y1)))) -> c11(MARK(s(cons(2nd(s(y0)), y1))))
   MARK(cons1(z0, s(cons(2nd(2nd(2nd(y0))), y1)))) -> c11(MARK(s(cons(2nd(2nd(2nd(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(2nd(from(y0))), y1)))) -> c11(MARK(s(cons(2nd(2nd(from(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(2nd(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(2nd(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(2nd(s(y0))), y1)))) -> c11(MARK(s(cons(2nd(2nd(s(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(2nd(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(2nd(y0)), y1)))) -> c11(MARK(s(cons(2nd(2nd(y0)), y1))))
   MARK(cons1(z0, s(cons(2nd(from(y0)), y1)))) -> c11(MARK(s(cons(2nd(from(y0)), y1))))
   MARK(cons1(z0, s(cons(2nd(from(2nd(y0))), y1)))) -> c11(MARK(s(cons(2nd(from(2nd(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(from(from(y0))), y1)))) -> c11(MARK(s(cons(2nd(from(from(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(from(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(from(s(y0))), y1)))) -> c11(MARK(s(cons(2nd(from(s(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(from(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(from(cons1(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, 2nd(y1))), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, 2nd(y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, from(y1))), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, from(y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(2nd(cons1(y0, cons(y1, y2))), y3))))
   MARK(cons1(z0, s(cons(2nd(cons1(2nd(y0), y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(2nd(y0), y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(from(y0), y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(from(y0), y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(cons(y0, y1), y2)), y3)))) -> c11(MARK(s(cons(2nd(cons1(cons(y0, y1), y2)), y3))))
   MARK(cons1(z0, s(cons(2nd(cons1(s(y0), y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(s(y0), y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)))) -> c11(MARK(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, s(y1))), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, s(y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)))) -> c11(MARK(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3))))
   MARK(cons1(z0, s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons1(z0, s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons1(z0, s(cons(from(cons1(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons1(y0, y1)), y2))))
   MARK(cons1(z0, s(cons(from(2nd(y0)), y1)))) -> c11(MARK(s(cons(from(2nd(y0)), y1))))
   MARK(cons1(z0, s(cons(from(2nd(2nd(y0))), y1)))) -> c11(MARK(s(cons(from(2nd(2nd(y0))), y1))))
   MARK(cons1(z0, s(cons(from(2nd(from(y0))), y1)))) -> c11(MARK(s(cons(from(2nd(from(y0))), y1))))
   MARK(cons1(z0, s(cons(from(2nd(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(2nd(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(from(2nd(s(y0))), y1)))) -> c11(MARK(s(cons(from(2nd(s(y0))), y1))))
   MARK(cons1(z0, s(cons(from(2nd(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(from(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons1(z0, s(cons(from(from(2nd(y0))), y1)))) -> c11(MARK(s(cons(from(from(2nd(y0))), y1))))
   MARK(cons1(z0, s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons1(z0, s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons1(z0, s(cons(from(from(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons1(y0, y1))), y2))))
   MARK(cons1(z0, cons1(cons1(y0, y1), y2))) -> c11(MARK(cons1(cons1(y0, y1), y2)))
   MARK(cons1(z0, cons1(2nd(cons(y0, y1)), y2))) -> c11(MARK(cons1(2nd(cons(y0, y1)), y2)))
   MARK(cons1(z0, cons1(2nd(s(y0)), y1))) -> c11(MARK(cons1(2nd(s(y0)), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(2nd(y0))), y1))) -> c11(MARK(cons1(2nd(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(from(y0))), y1))) -> c11(MARK(cons1(2nd(2nd(from(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(cons(y0, y1))), y2))) -> c11(MARK(cons1(2nd(2nd(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(2nd(s(y0))), y1))) -> c11(MARK(cons1(2nd(2nd(s(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons1(2nd(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(2nd(y0)), y1))) -> c11(MARK(cons1(2nd(2nd(y0)), y1)))
   MARK(cons1(z0, cons1(2nd(from(y0)), y1))) -> c11(MARK(cons1(2nd(from(y0)), y1)))
   MARK(cons1(z0, cons1(2nd(from(2nd(y0))), y1))) -> c11(MARK(cons1(2nd(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(from(from(y0))), y1))) -> c11(MARK(cons1(2nd(from(from(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(from(cons(y0, y1))), y2))) -> c11(MARK(cons1(2nd(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(from(s(y0))), y1))) -> c11(MARK(cons1(2nd(from(s(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(from(cons1(y0, y1))), y2))) -> c11(MARK(cons1(2nd(from(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, 2nd(y1))), y2))) -> c11(MARK(cons1(2nd(cons1(y0, 2nd(y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, from(y1))), y2))) -> c11(MARK(cons1(2nd(cons1(y0, from(y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, cons(y1, y2))), y3))) -> c11(MARK(cons1(2nd(cons1(y0, cons(y1, y2))), y3)))
   MARK(cons1(z0, cons1(2nd(cons1(2nd(y0), y1)), y2))) -> c11(MARK(cons1(2nd(cons1(2nd(y0), y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(from(y0), y1)), y2))) -> c11(MARK(cons1(2nd(cons1(from(y0), y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(cons(y0, y1), y2)), y3))) -> c11(MARK(cons1(2nd(cons1(cons(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(2nd(cons1(s(y0), y1)), y2))) -> c11(MARK(cons1(2nd(cons1(s(y0), y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(cons1(y0, y1), y2)), y3))) -> c11(MARK(cons1(2nd(cons1(cons1(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, y1)), y2))) -> c11(MARK(cons1(2nd(cons1(y0, y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, s(y1))), y2))) -> c11(MARK(cons1(2nd(cons1(y0, s(y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, cons1(y1, y2))), y3))) -> c11(MARK(cons1(2nd(cons1(y0, cons1(y1, y2))), y3)))
   MARK(cons1(z0, cons1(from(cons(y0, y1)), y2))) -> c11(MARK(cons1(from(cons(y0, y1)), y2)))
   MARK(cons1(z0, cons1(from(s(y0)), y1))) -> c11(MARK(cons1(from(s(y0)), y1)))
   MARK(cons1(z0, cons1(from(cons1(y0, y1)), y2))) -> c11(MARK(cons1(from(cons1(y0, y1)), y2)))
   MARK(cons1(z0, cons1(from(2nd(y0)), y1))) -> c11(MARK(cons1(from(2nd(y0)), y1)))
   MARK(cons1(z0, cons1(from(2nd(2nd(y0))), y1))) -> c11(MARK(cons1(from(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(from(2nd(from(y0))), y1))) -> c11(MARK(cons1(from(2nd(from(y0))), y1)))
   MARK(cons1(z0, cons1(from(2nd(cons(y0, y1))), y2))) -> c11(MARK(cons1(from(2nd(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(from(2nd(s(y0))), y1))) -> c11(MARK(cons1(from(2nd(s(y0))), y1)))
   MARK(cons1(z0, cons1(from(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons1(from(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(from(from(y0)), y1))) -> c11(MARK(cons1(from(from(y0)), y1)))
   MARK(cons1(z0, cons1(from(from(2nd(y0))), y1))) -> c11(MARK(cons1(from(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(from(from(from(y0))), y1))) -> c11(MARK(cons1(from(from(from(y0))), y1)))
   MARK(cons1(z0, cons1(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons1(from(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(from(from(s(y0))), y1))) -> c11(MARK(cons1(from(from(s(y0))), y1)))
   MARK(cons1(z0, cons1(from(from(cons1(y0, y1))), y2))) -> c11(MARK(cons1(from(from(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(cons(cons(y0, y1), y2), y3))) -> c11(MARK(cons1(cons(cons(y0, y1), y2), y3)))
   MARK(cons1(z0, cons1(cons(s(y0), y1), y2))) -> c11(MARK(cons1(cons(s(y0), y1), y2)))
   MARK(cons1(z0, cons1(cons(cons1(y0, y1), y2), y3))) -> c11(MARK(cons1(cons(cons1(y0, y1), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(s(y0)), y1), y2))) -> c11(MARK(cons1(cons(2nd(s(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(2nd(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(2nd(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(y0)), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(y0)), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(from(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(from(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(from(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, 2nd(y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, 2nd(y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, from(y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, from(y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, cons(y1, y2))), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(y0, cons(y1, y2))), y3), y4)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(2nd(y0), y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(2nd(y0), y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(from(y0), y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(from(y0), y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(cons(y0, y1), y2)), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(cons(y0, y1), y2)), y3), y4)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(s(y0), y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(s(y0), y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(cons1(y0, y1), y2)), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(cons1(y0, y1), y2)), y3), y4)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, s(y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, s(y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, cons1(y1, y2))), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(y0, cons1(y1, y2))), y3), y4)))
   MARK(cons1(z0, cons1(cons(from(cons(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(from(cons(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(s(y0)), y1), y2))) -> c11(MARK(cons1(cons(from(s(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(cons1(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(from(cons1(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(2nd(y0)), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(2nd(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(2nd(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(2nd(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(from(y0)), y1), y2))) -> c11(MARK(cons1(cons(from(from(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(from(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(from(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(from(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(from(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(from(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(from(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(s(s(y0)), y1))) -> c11(MARK(cons1(s(s(y0)), y1)))
   MARK(cons1(z0, cons1(s(cons1(y0, y1)), y2))) -> c11(MARK(cons1(s(cons1(y0, y1)), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons(y0, y1))), y2))) -> c11(MARK(cons1(s(2nd(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(s(y0))), y1))) -> c11(MARK(cons1(s(2nd(s(y0))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(2nd(y0)))), y1))) -> c11(MARK(cons1(s(2nd(2nd(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(from(y0)))), y1))) -> c11(MARK(cons1(s(2nd(2nd(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(2nd(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(2nd(s(y0)))), y1))) -> c11(MARK(cons1(s(2nd(2nd(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(2nd(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(2nd(y0))), y1))) -> c11(MARK(cons1(s(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(y0))), y1))) -> c11(MARK(cons1(s(2nd(from(y0))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(2nd(y0)))), y1))) -> c11(MARK(cons1(s(2nd(from(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(from(y0)))), y1))) -> c11(MARK(cons1(s(2nd(from(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(from(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(from(s(y0)))), y1))) -> c11(MARK(cons1(s(2nd(from(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(from(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, 2nd(y1)))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, 2nd(y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, from(y1)))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, from(y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, cons(y1, y2)))), y3))) -> c11(MARK(cons1(s(2nd(cons1(y0, cons(y1, y2)))), y3)))
   MARK(cons1(z0, cons1(s(2nd(cons1(2nd(y0), y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(2nd(y0), y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(from(y0), y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(from(y0), y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(cons(y0, y1), y2))), y3))) -> c11(MARK(cons1(s(2nd(cons1(cons(y0, y1), y2))), y3)))
   MARK(cons1(z0, cons1(s(2nd(cons1(s(y0), y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(s(y0), y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(cons1(y0, y1), y2))), y3))) -> c11(MARK(cons1(s(2nd(cons1(cons1(y0, y1), y2))), y3)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, s(y1)))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, s(y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, cons1(y1, y2)))), y3))) -> c11(MARK(cons1(s(2nd(cons1(y0, cons1(y1, y2)))), y3)))
   MARK(cons1(z0, cons1(s(from(cons(y0, y1))), y2))) -> c11(MARK(cons1(s(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(from(s(y0))), y1))) -> c11(MARK(cons1(s(from(s(y0))), y1)))
   MARK(cons1(z0, cons1(s(from(cons1(y0, y1))), y2))) -> c11(MARK(cons1(s(from(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(from(2nd(y0))), y1))) -> c11(MARK(cons1(s(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(2nd(y0)))), y1))) -> c11(MARK(cons1(s(from(2nd(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(from(y0)))), y1))) -> c11(MARK(cons1(s(from(2nd(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(2nd(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(from(2nd(s(y0)))), y1))) -> c11(MARK(cons1(s(from(2nd(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(2nd(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(from(from(y0))), y1))) -> c11(MARK(cons1(s(from(from(y0))), y1)))
   MARK(cons1(z0, cons1(s(from(from(2nd(y0)))), y1))) -> c11(MARK(cons1(s(from(from(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(from(from(y0)))), y1))) -> c11(MARK(cons1(s(from(from(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(from(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(from(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(from(from(s(y0)))), y1))) -> c11(MARK(cons1(s(from(from(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(from(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(from(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(cons(cons(y0, y1), y2)), y3))) -> c11(MARK(cons1(s(cons(cons(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(s(y0), y1)), y2))) -> c11(MARK(cons1(s(cons(s(y0), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(cons1(y0, y1), y2)), y3))) -> c11(MARK(cons1(s(cons(cons1(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(s(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(s(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(2nd(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(2nd(cons1(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(from(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(from(cons1(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, 2nd(y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, 2nd(y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, from(y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, from(y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, cons(y1, y2))), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, cons(y1, y2))), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(2nd(y0), y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(2nd(y0), y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(from(y0), y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(from(y0), y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(cons(y0, y1), y2)), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(cons(y0, y1), y2)), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(s(y0), y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(s(y0), y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, s(y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, s(y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(from(cons(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(from(cons(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(s(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(from(s(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(cons1(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(from(cons1(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(2nd(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(2nd(cons1(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(from(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(from(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(from(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(from(cons1(y0, y1))), y2)), y3)))
S tuples:
   A__2ND(cons(x0, s(z0))) -> c1(MARK(x0))
   A__2ND(cons(x0, cons1(z0, z1))) -> c1(MARK(x0))
   A__2ND(cons(x0, s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(x0, cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(cons(z0, z1))) -> c6(A__2ND(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(2nd(s(z0))) -> c6(MARK(s(z0)))
   A__2ND(cons(x0, 2nd(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, 2nd(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, 2nd(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__2nd(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__2nd(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), 2nd(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__2nd(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__2nd(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), 2nd(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__2nd(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), 2nd(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__2nd(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, 2nd(x1))) -> c1(MARK(x0))
   A__2ND(cons(x0, from(x1))) -> c1(A__2ND(cons1(mark(x0), cons(mark(mark(x1)), from(s(mark(x1)))))), MARK(x0))
   A__2ND(cons(x0, from(2nd(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__2nd(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(from(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(a__from(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons(mark(z0), z1)))), MARK(x0))
   A__2ND(cons(x0, from(s(z0)))) -> c1(A__2ND(cons1(mark(x0), a__from(s(mark(z0))))), MARK(x0))
   A__2ND(cons(x0, from(cons1(z0, z1)))) -> c1(A__2ND(cons1(mark(x0), a__from(cons1(mark(z0), mark(z1))))), MARK(x0))
   A__2ND(cons(2nd(z0), from(x1))) -> c1(A__2ND(cons1(a__2nd(mark(z0)), a__from(mark(x1)))), MARK(2nd(z0)))
   A__2ND(cons(from(z0), from(x1))) -> c1(A__2ND(cons1(a__from(mark(z0)), a__from(mark(x1)))), MARK(from(z0)))
   A__2ND(cons(cons(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons(mark(z0), z1), a__from(mark(x1)))), MARK(cons(z0, z1)))
   A__2ND(cons(s(z0), from(x1))) -> c1(A__2ND(cons1(s(mark(z0)), a__from(mark(x1)))), MARK(s(z0)))
   A__2ND(cons(cons1(z0, z1), from(x1))) -> c1(A__2ND(cons1(cons1(mark(z0), mark(z1)), a__from(mark(x1)))), MARK(cons1(z0, z1)))
   A__2ND(cons(x0, from(x1))) -> c1(MARK(x0))
   A__2ND(cons(2nd(x0), cons(z0, z1))) -> c1(A__2ND(cons1(a__2nd(mark(x0)), cons(mark(z0), z1))), MARK(2nd(x0)))
   A__2ND(cons(2nd(x0), x1)) -> c1(A__2ND(cons1(2nd(mark(x0)), mark(x1))), MARK(2nd(x0)))
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   A__2ND(cons(2nd(from(z0)), x1)) -> c2(A__2ND(cons1(a__2nd(a__from(mark(z0))), mark(x1))), MARK(x1))
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   A__2ND(cons(2nd(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__2nd(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
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   A__2ND(cons(2nd(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(from(x0), cons(z0, z1))) -> c2(A__2ND(cons1(a__from(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1))), MARK(x1))
   A__2ND(cons(from(x0), x1)) -> c2(A__2ND(cons1(from(mark(x0)), mark(x1))), MARK(x1))
   A__2ND(cons(from(2nd(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(from(z0)), x1)) -> c2(A__2ND(cons1(a__from(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(from(s(z0)), x1)) -> c2(A__2ND(cons1(a__from(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(from(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(a__from(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
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   A__2ND(cons(from(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
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   A__2ND(cons(cons(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__2nd(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons(a__from(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons(mark(z0), z1), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons(s(mark(z0)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons(cons1(mark(z0), mark(z1)), x1), mark(x2))), MARK(x2))
   A__2ND(cons(cons(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(s(x0), cons(z0, z1))) -> c2(A__2ND(cons1(s(mark(x0)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(s(2nd(z0)), x1)) -> c2(A__2ND(cons1(s(a__2nd(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(from(z0)), x1)) -> c2(A__2ND(cons1(s(a__from(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons(mark(z0), z1)), mark(x1))), MARK(x1))
   A__2ND(cons(s(s(z0)), x1)) -> c2(A__2ND(cons1(s(s(mark(z0))), mark(x1))), MARK(x1))
   A__2ND(cons(s(cons1(z0, z1)), x1)) -> c2(A__2ND(cons1(s(cons1(mark(z0), mark(z1))), mark(x1))), MARK(x1))
   A__2ND(cons(s(x0), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(s(x0), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   A__2ND(cons(cons1(x0, x1), cons(z0, z1))) -> c2(A__2ND(cons1(cons1(mark(x0), mark(x1)), cons(mark(z0), z1))), MARK(cons(z0, z1)))
   A__2ND(cons(cons1(x0, 2nd(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__2nd(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, from(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), a__from(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons(mark(z0), z1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, s(z0)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), s(mark(z0))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, cons1(z0, z1)), x2)) -> c2(A__2ND(cons1(cons1(mark(x0), cons1(mark(z0), mark(z1))), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(2nd(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__2nd(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(from(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(a__from(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
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   A__2ND(cons(cons1(s(z0), x1), x2)) -> c2(A__2ND(cons1(cons1(s(mark(z0)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(cons1(z0, z1), x1), x2)) -> c2(A__2ND(cons1(cons1(cons1(mark(z0), mark(z1)), mark(x1)), mark(x2))), MARK(x2))
   A__2ND(cons(cons1(x0, x1), s(z0))) -> c2(MARK(s(z0)))
   A__2ND(cons(cons1(x0, x1), cons1(z0, z1))) -> c2(MARK(cons1(z0, z1)))
   MARK(2nd(2nd(2nd(z0)))) -> c6(A__2ND(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(2nd(2nd(from(z0)))) -> c6(A__2ND(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
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   MARK(2nd(2nd(s(z0)))) -> c6(A__2ND(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(2nd(2nd(cons1(z0, z1)))) -> c6(A__2ND(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(2nd(2nd(x0))) -> c6(MARK(2nd(x0)))
   MARK(2nd(from(x0))) -> c6(A__2ND(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(2nd(from(2nd(z0)))) -> c6(A__2ND(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(2nd(from(from(z0)))) -> c6(A__2ND(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(2nd(from(cons(z0, z1)))) -> c6(A__2ND(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(2nd(from(s(z0)))) -> c6(A__2ND(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(2nd(from(cons1(z0, z1)))) -> c6(A__2ND(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(2nd(from(x0))) -> c6(MARK(from(x0)))
   MARK(2nd(cons1(x0, 2nd(z0)))) -> c6(A__2ND(cons1(mark(x0), a__2nd(mark(z0)))), MARK(cons1(x0, 2nd(z0))))
   MARK(2nd(cons1(x0, from(z0)))) -> c6(A__2ND(cons1(mark(x0), a__from(mark(z0)))), MARK(cons1(x0, from(z0))))
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   MARK(2nd(cons1(2nd(z0), x1))) -> c6(A__2ND(cons1(a__2nd(mark(z0)), mark(x1))), MARK(cons1(2nd(z0), x1)))
   MARK(2nd(cons1(from(z0), x1))) -> c6(A__2ND(cons1(a__from(mark(z0)), mark(x1))), MARK(cons1(from(z0), x1)))
   MARK(2nd(cons1(cons(z0, z1), x1))) -> c6(A__2ND(cons1(cons(mark(z0), z1), mark(x1))), MARK(cons1(cons(z0, z1), x1)))
   MARK(2nd(cons1(s(z0), x1))) -> c6(A__2ND(cons1(s(mark(z0)), mark(x1))), MARK(cons1(s(z0), x1)))
   MARK(2nd(cons1(cons1(z0, z1), x1))) -> c6(A__2ND(cons1(cons1(mark(z0), mark(z1)), mark(x1))), MARK(cons1(cons1(z0, z1), x1)))
   MARK(2nd(cons1(x0, x1))) -> c6(MARK(cons1(x0, x1)))
   MARK(2nd(cons1(x0, s(z0)))) -> c6(MARK(cons1(x0, s(z0))))
   MARK(2nd(cons1(x0, cons1(z0, z1)))) -> c6(MARK(cons1(x0, cons1(z0, z1))))
   A__2ND(cons1(z0, cons(from(y0), z2))) -> c(MARK(from(y0)))
   A__2ND(cons1(z0, cons(cons(y0, y1), z2))) -> c(MARK(cons(y0, y1)))
   A__2ND(cons1(z0, cons(s(y0), z2))) -> c(MARK(s(y0)))
   A__2ND(cons1(z0, cons(cons1(y0, y1), z2))) -> c(MARK(cons1(y0, y1)))
   A__2ND(cons1(z0, cons(2nd(cons(y0, y1)), z2))) -> c(MARK(2nd(cons(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(s(y0)), z2))) -> c(MARK(2nd(s(y0))))
   A__2ND(cons1(z0, cons(2nd(2nd(2nd(y0))), z2))) -> c(MARK(2nd(2nd(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(from(y0))), z2))) -> c(MARK(2nd(2nd(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(s(y0))), z2))) -> c(MARK(2nd(2nd(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(2nd(cons1(y0, y1))), z2))) -> c(MARK(2nd(2nd(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(2nd(y0)), z2))) -> c(MARK(2nd(2nd(y0))))
   A__2ND(cons1(z0, cons(2nd(from(y0)), z2))) -> c(MARK(2nd(from(y0))))
   A__2ND(cons1(z0, cons(2nd(from(2nd(y0))), z2))) -> c(MARK(2nd(from(2nd(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(from(y0))), z2))) -> c(MARK(2nd(from(from(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons(y0, y1))), z2))) -> c(MARK(2nd(from(cons(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(from(s(y0))), z2))) -> c(MARK(2nd(from(s(y0)))))
   A__2ND(cons1(z0, cons(2nd(from(cons1(y0, y1))), z2))) -> c(MARK(2nd(from(cons1(y0, y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, 2nd(y1))), z2))) -> c(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, from(y1))), z2))) -> c(MARK(2nd(cons1(y0, from(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__2ND(cons1(z0, cons(2nd(cons1(2nd(y0), y1)), z2))) -> c(MARK(2nd(cons1(2nd(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(from(y0), y1)), z2))) -> c(MARK(2nd(cons1(from(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(s(y0), y1)), z2))) -> c(MARK(2nd(cons1(s(y0), y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(cons1(y0, y1), y2)), z2))) -> c(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, y1)), z2))) -> c(MARK(2nd(cons1(y0, y1))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, s(y1))), z2))) -> c(MARK(2nd(cons1(y0, s(y1)))))
   A__2ND(cons1(z0, cons(2nd(cons1(y0, cons1(y1, y2))), z2))) -> c(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(x0))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c1(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c1(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(x0))
   A__2ND(cons(x0, cons(2nd(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__2nd(mark(z0)), x2))), MARK(cons(2nd(z0), x2)))
   A__2ND(cons(x0, cons(from(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(a__from(mark(z0)), x2))), MARK(cons(from(z0), x2)))
   A__2ND(cons(x0, cons(cons(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons(mark(z0), z1), x2))), MARK(cons(cons(z0, z1), x2)))
   A__2ND(cons(x0, cons(s(z0), x2))) -> c2(A__2ND(cons1(mark(x0), cons(s(mark(z0)), x2))), MARK(cons(s(z0), x2)))
   A__2ND(cons(x0, cons(cons1(z0, z1), x2))) -> c2(A__2ND(cons1(mark(x0), cons(cons1(mark(z0), mark(z1)), x2))), MARK(cons(cons1(z0, z1), x2)))
   A__2ND(cons(x0, cons(x1, x2))) -> c2(MARK(cons(x1, x2)))
   A__FROM(from(y0)) -> c4(MARK(from(y0)))
   A__FROM(cons(y0, y1)) -> c4(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c4(MARK(s(y0)))
   A__FROM(cons1(y0, y1)) -> c4(MARK(cons1(y0, y1)))
   A__FROM(2nd(cons(y0, y1))) -> c4(MARK(2nd(cons(y0, y1))))
   A__FROM(2nd(s(y0))) -> c4(MARK(2nd(s(y0))))
   A__FROM(2nd(2nd(2nd(y0)))) -> c4(MARK(2nd(2nd(2nd(y0)))))
   A__FROM(2nd(2nd(from(y0)))) -> c4(MARK(2nd(2nd(from(y0)))))
   A__FROM(2nd(2nd(cons(y0, y1)))) -> c4(MARK(2nd(2nd(cons(y0, y1)))))
   A__FROM(2nd(2nd(s(y0)))) -> c4(MARK(2nd(2nd(s(y0)))))
   A__FROM(2nd(2nd(cons1(y0, y1)))) -> c4(MARK(2nd(2nd(cons1(y0, y1)))))
   A__FROM(2nd(2nd(y0))) -> c4(MARK(2nd(2nd(y0))))
   A__FROM(2nd(from(y0))) -> c4(MARK(2nd(from(y0))))
   A__FROM(2nd(from(2nd(y0)))) -> c4(MARK(2nd(from(2nd(y0)))))
   A__FROM(2nd(from(from(y0)))) -> c4(MARK(2nd(from(from(y0)))))
   A__FROM(2nd(from(cons(y0, y1)))) -> c4(MARK(2nd(from(cons(y0, y1)))))
   A__FROM(2nd(from(s(y0)))) -> c4(MARK(2nd(from(s(y0)))))
   A__FROM(2nd(from(cons1(y0, y1)))) -> c4(MARK(2nd(from(cons1(y0, y1)))))
   A__FROM(2nd(cons1(y0, 2nd(y1)))) -> c4(MARK(2nd(cons1(y0, 2nd(y1)))))
   A__FROM(2nd(cons1(y0, from(y1)))) -> c4(MARK(2nd(cons1(y0, from(y1)))))
   A__FROM(2nd(cons1(y0, cons(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons(y1, y2)))))
   A__FROM(2nd(cons1(2nd(y0), y1))) -> c4(MARK(2nd(cons1(2nd(y0), y1))))
   A__FROM(2nd(cons1(from(y0), y1))) -> c4(MARK(2nd(cons1(from(y0), y1))))
   A__FROM(2nd(cons1(cons(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons(y0, y1), y2))))
   A__FROM(2nd(cons1(s(y0), y1))) -> c4(MARK(2nd(cons1(s(y0), y1))))
   A__FROM(2nd(cons1(cons1(y0, y1), y2))) -> c4(MARK(2nd(cons1(cons1(y0, y1), y2))))
   A__FROM(2nd(cons1(y0, y1))) -> c4(MARK(2nd(cons1(y0, y1))))
   A__FROM(2nd(cons1(y0, s(y1)))) -> c4(MARK(2nd(cons1(y0, s(y1)))))
   A__FROM(2nd(cons1(y0, cons1(y1, y2)))) -> c4(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons1(z0, z1))) -> c7(A__FROM(cons1(mark(z0), mark(z1))), MARK(cons1(z0, z1)))
   MARK(from(2nd(x0))) -> c7(A__FROM(2nd(mark(x0))), MARK(2nd(x0)))
   MARK(from(2nd(2nd(z0)))) -> c7(A__FROM(a__2nd(a__2nd(mark(z0)))), MARK(2nd(2nd(z0))))
   MARK(from(2nd(from(z0)))) -> c7(A__FROM(a__2nd(a__from(mark(z0)))), MARK(2nd(from(z0))))
   MARK(from(2nd(cons(z0, z1)))) -> c7(A__FROM(a__2nd(cons(mark(z0), z1))), MARK(2nd(cons(z0, z1))))
   MARK(from(2nd(s(z0)))) -> c7(A__FROM(a__2nd(s(mark(z0)))), MARK(2nd(s(z0))))
   MARK(from(2nd(cons1(z0, z1)))) -> c7(A__FROM(a__2nd(cons1(mark(z0), mark(z1)))), MARK(2nd(cons1(z0, z1))))
   MARK(from(from(x0))) -> c7(A__FROM(cons(mark(mark(x0)), from(s(mark(x0))))), MARK(from(x0)))
   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(2nd(z0)))) -> c7(A__FROM(a__from(a__2nd(mark(z0)))), MARK(from(2nd(z0))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons1(z0, z1)))) -> c7(A__FROM(a__from(cons1(mark(z0), mark(z1)))), MARK(from(cons1(z0, z1))))
   MARK(cons(cons(y0, y1), z1)) -> c8(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c8(MARK(s(y0)))
   MARK(cons(cons1(y0, y1), z1)) -> c8(MARK(cons1(y0, y1)))
   MARK(cons(2nd(cons(y0, y1)), z1)) -> c8(MARK(2nd(cons(y0, y1))))
   MARK(cons(2nd(s(y0)), z1)) -> c8(MARK(2nd(s(y0))))
   MARK(cons(2nd(2nd(2nd(y0))), z1)) -> c8(MARK(2nd(2nd(2nd(y0)))))
   MARK(cons(2nd(2nd(from(y0))), z1)) -> c8(MARK(2nd(2nd(from(y0)))))
   MARK(cons(2nd(2nd(cons(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(cons(2nd(2nd(s(y0))), z1)) -> c8(MARK(2nd(2nd(s(y0)))))
   MARK(cons(2nd(2nd(cons1(y0, y1))), z1)) -> c8(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(cons(2nd(2nd(y0)), z1)) -> c8(MARK(2nd(2nd(y0))))
   MARK(cons(2nd(from(y0)), z1)) -> c8(MARK(2nd(from(y0))))
   MARK(cons(2nd(from(2nd(y0))), z1)) -> c8(MARK(2nd(from(2nd(y0)))))
   MARK(cons(2nd(from(from(y0))), z1)) -> c8(MARK(2nd(from(from(y0)))))
   MARK(cons(2nd(from(cons(y0, y1))), z1)) -> c8(MARK(2nd(from(cons(y0, y1)))))
   MARK(cons(2nd(from(s(y0))), z1)) -> c8(MARK(2nd(from(s(y0)))))
   MARK(cons(2nd(from(cons1(y0, y1))), z1)) -> c8(MARK(2nd(from(cons1(y0, y1)))))
   MARK(cons(2nd(cons1(y0, 2nd(y1))), z1)) -> c8(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(cons(2nd(cons1(y0, from(y1))), z1)) -> c8(MARK(2nd(cons1(y0, from(y1)))))
   MARK(cons(2nd(cons1(y0, cons(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(cons(2nd(cons1(2nd(y0), y1)), z1)) -> c8(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(cons(2nd(cons1(from(y0), y1)), z1)) -> c8(MARK(2nd(cons1(from(y0), y1))))
   MARK(cons(2nd(cons1(cons(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(cons(2nd(cons1(s(y0), y1)), z1)) -> c8(MARK(2nd(cons1(s(y0), y1))))
   MARK(cons(2nd(cons1(cons1(y0, y1), y2)), z1)) -> c8(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(cons(2nd(cons1(y0, y1)), z1)) -> c8(MARK(2nd(cons1(y0, y1))))
   MARK(cons(2nd(cons1(y0, s(y1))), z1)) -> c8(MARK(2nd(cons1(y0, s(y1)))))
   MARK(cons(2nd(cons1(y0, cons1(y1, y2))), z1)) -> c8(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(cons(from(cons(y0, y1)), z1)) -> c8(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c8(MARK(from(s(y0))))
   MARK(cons(from(cons1(y0, y1)), z1)) -> c8(MARK(from(cons1(y0, y1))))
   MARK(cons(from(2nd(y0)), z1)) -> c8(MARK(from(2nd(y0))))
   MARK(cons(from(2nd(2nd(y0))), z1)) -> c8(MARK(from(2nd(2nd(y0)))))
   MARK(cons(from(2nd(from(y0))), z1)) -> c8(MARK(from(2nd(from(y0)))))
   MARK(cons(from(2nd(cons(y0, y1))), z1)) -> c8(MARK(from(2nd(cons(y0, y1)))))
   MARK(cons(from(2nd(s(y0))), z1)) -> c8(MARK(from(2nd(s(y0)))))
   MARK(cons(from(2nd(cons1(y0, y1))), z1)) -> c8(MARK(from(2nd(cons1(y0, y1)))))
   MARK(cons(from(from(y0)), z1)) -> c8(MARK(from(from(y0))))
   MARK(cons(from(from(2nd(y0))), z1)) -> c8(MARK(from(from(2nd(y0)))))
   MARK(cons(from(from(from(y0))), z1)) -> c8(MARK(from(from(from(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c8(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c8(MARK(from(from(s(y0)))))
   MARK(cons(from(from(cons1(y0, y1))), z1)) -> c8(MARK(from(from(cons1(y0, y1)))))
   MARK(s(s(y0))) -> c9(MARK(s(y0)))
   MARK(s(cons1(y0, y1))) -> c9(MARK(cons1(y0, y1)))
   MARK(s(2nd(cons(y0, y1)))) -> c9(MARK(2nd(cons(y0, y1))))
   MARK(s(2nd(s(y0)))) -> c9(MARK(2nd(s(y0))))
   MARK(s(2nd(2nd(2nd(y0))))) -> c9(MARK(2nd(2nd(2nd(y0)))))
   MARK(s(2nd(2nd(from(y0))))) -> c9(MARK(2nd(2nd(from(y0)))))
   MARK(s(2nd(2nd(cons(y0, y1))))) -> c9(MARK(2nd(2nd(cons(y0, y1)))))
   MARK(s(2nd(2nd(s(y0))))) -> c9(MARK(2nd(2nd(s(y0)))))
   MARK(s(2nd(2nd(cons1(y0, y1))))) -> c9(MARK(2nd(2nd(cons1(y0, y1)))))
   MARK(s(2nd(2nd(y0)))) -> c9(MARK(2nd(2nd(y0))))
   MARK(s(2nd(from(y0)))) -> c9(MARK(2nd(from(y0))))
   MARK(s(2nd(from(2nd(y0))))) -> c9(MARK(2nd(from(2nd(y0)))))
   MARK(s(2nd(from(from(y0))))) -> c9(MARK(2nd(from(from(y0)))))
   MARK(s(2nd(from(cons(y0, y1))))) -> c9(MARK(2nd(from(cons(y0, y1)))))
   MARK(s(2nd(from(s(y0))))) -> c9(MARK(2nd(from(s(y0)))))
   MARK(s(2nd(from(cons1(y0, y1))))) -> c9(MARK(2nd(from(cons1(y0, y1)))))
   MARK(s(2nd(cons1(y0, 2nd(y1))))) -> c9(MARK(2nd(cons1(y0, 2nd(y1)))))
   MARK(s(2nd(cons1(y0, from(y1))))) -> c9(MARK(2nd(cons1(y0, from(y1)))))
   MARK(s(2nd(cons1(y0, cons(y1, y2))))) -> c9(MARK(2nd(cons1(y0, cons(y1, y2)))))
   MARK(s(2nd(cons1(2nd(y0), y1)))) -> c9(MARK(2nd(cons1(2nd(y0), y1))))
   MARK(s(2nd(cons1(from(y0), y1)))) -> c9(MARK(2nd(cons1(from(y0), y1))))
   MARK(s(2nd(cons1(cons(y0, y1), y2)))) -> c9(MARK(2nd(cons1(cons(y0, y1), y2))))
   MARK(s(2nd(cons1(s(y0), y1)))) -> c9(MARK(2nd(cons1(s(y0), y1))))
   MARK(s(2nd(cons1(cons1(y0, y1), y2)))) -> c9(MARK(2nd(cons1(cons1(y0, y1), y2))))
   MARK(s(2nd(cons1(y0, y1)))) -> c9(MARK(2nd(cons1(y0, y1))))
   MARK(s(2nd(cons1(y0, s(y1))))) -> c9(MARK(2nd(cons1(y0, s(y1)))))
   MARK(s(2nd(cons1(y0, cons1(y1, y2))))) -> c9(MARK(2nd(cons1(y0, cons1(y1, y2)))))
   MARK(s(from(cons(y0, y1)))) -> c9(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c9(MARK(from(s(y0))))
   MARK(s(from(cons1(y0, y1)))) -> c9(MARK(from(cons1(y0, y1))))
   MARK(s(from(2nd(y0)))) -> c9(MARK(from(2nd(y0))))
   MARK(s(from(2nd(2nd(y0))))) -> c9(MARK(from(2nd(2nd(y0)))))
   MARK(s(from(2nd(from(y0))))) -> c9(MARK(from(2nd(from(y0)))))
   MARK(s(from(2nd(cons(y0, y1))))) -> c9(MARK(from(2nd(cons(y0, y1)))))
   MARK(s(from(2nd(s(y0))))) -> c9(MARK(from(2nd(s(y0)))))
   MARK(s(from(2nd(cons1(y0, y1))))) -> c9(MARK(from(2nd(cons1(y0, y1)))))
   MARK(s(from(from(y0)))) -> c9(MARK(from(from(y0))))
   MARK(s(from(from(2nd(y0))))) -> c9(MARK(from(from(2nd(y0)))))
   MARK(s(from(from(from(y0))))) -> c9(MARK(from(from(from(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c9(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c9(MARK(from(from(s(y0)))))
   MARK(s(from(from(cons1(y0, y1))))) -> c9(MARK(from(from(cons1(y0, y1)))))
   MARK(s(cons(cons(y0, y1), y2))) -> c9(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c9(MARK(cons(s(y0), y1)))
   MARK(s(cons(cons1(y0, y1), y2))) -> c9(MARK(cons(cons1(y0, y1), y2)))
   MARK(s(cons(2nd(cons(y0, y1)), y2))) -> c9(MARK(cons(2nd(cons(y0, y1)), y2)))
   MARK(s(cons(2nd(s(y0)), y1))) -> c9(MARK(cons(2nd(s(y0)), y1)))
   MARK(s(cons(2nd(2nd(2nd(y0))), y1))) -> c9(MARK(cons(2nd(2nd(2nd(y0))), y1)))
   MARK(s(cons(2nd(2nd(from(y0))), y1))) -> c9(MARK(cons(2nd(2nd(from(y0))), y1)))
   MARK(s(cons(2nd(2nd(cons(y0, y1))), y2))) -> c9(MARK(cons(2nd(2nd(cons(y0, y1))), y2)))
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   MARK(cons1(z0, s(2nd(from(y0))))) -> c11(MARK(s(2nd(from(y0)))))
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   MARK(cons1(z0, s(cons(2nd(2nd(from(y0))), y1)))) -> c11(MARK(s(cons(2nd(2nd(from(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(2nd(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(2nd(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(2nd(s(y0))), y1)))) -> c11(MARK(s(cons(2nd(2nd(s(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(2nd(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(2nd(y0)), y1)))) -> c11(MARK(s(cons(2nd(2nd(y0)), y1))))
   MARK(cons1(z0, s(cons(2nd(from(y0)), y1)))) -> c11(MARK(s(cons(2nd(from(y0)), y1))))
   MARK(cons1(z0, s(cons(2nd(from(2nd(y0))), y1)))) -> c11(MARK(s(cons(2nd(from(2nd(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(from(from(y0))), y1)))) -> c11(MARK(s(cons(2nd(from(from(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(from(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(from(s(y0))), y1)))) -> c11(MARK(s(cons(2nd(from(s(y0))), y1))))
   MARK(cons1(z0, s(cons(2nd(from(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(2nd(from(cons1(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, 2nd(y1))), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, 2nd(y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, from(y1))), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, from(y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(2nd(cons1(y0, cons(y1, y2))), y3))))
   MARK(cons1(z0, s(cons(2nd(cons1(2nd(y0), y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(2nd(y0), y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(from(y0), y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(from(y0), y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(cons(y0, y1), y2)), y3)))) -> c11(MARK(s(cons(2nd(cons1(cons(y0, y1), y2)), y3))))
   MARK(cons1(z0, s(cons(2nd(cons1(s(y0), y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(s(y0), y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)))) -> c11(MARK(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, y1)), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, y1)), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, s(y1))), y2)))) -> c11(MARK(s(cons(2nd(cons1(y0, s(y1))), y2))))
   MARK(cons1(z0, s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)))) -> c11(MARK(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3))))
   MARK(cons1(z0, s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons1(z0, s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons1(z0, s(cons(from(cons1(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons1(y0, y1)), y2))))
   MARK(cons1(z0, s(cons(from(2nd(y0)), y1)))) -> c11(MARK(s(cons(from(2nd(y0)), y1))))
   MARK(cons1(z0, s(cons(from(2nd(2nd(y0))), y1)))) -> c11(MARK(s(cons(from(2nd(2nd(y0))), y1))))
   MARK(cons1(z0, s(cons(from(2nd(from(y0))), y1)))) -> c11(MARK(s(cons(from(2nd(from(y0))), y1))))
   MARK(cons1(z0, s(cons(from(2nd(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(2nd(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(from(2nd(s(y0))), y1)))) -> c11(MARK(s(cons(from(2nd(s(y0))), y1))))
   MARK(cons1(z0, s(cons(from(2nd(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(from(2nd(cons1(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons1(z0, s(cons(from(from(2nd(y0))), y1)))) -> c11(MARK(s(cons(from(from(2nd(y0))), y1))))
   MARK(cons1(z0, s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons1(z0, s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons1(z0, s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons1(z0, s(cons(from(from(cons1(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons1(y0, y1))), y2))))
   MARK(cons1(z0, cons1(cons1(y0, y1), y2))) -> c11(MARK(cons1(cons1(y0, y1), y2)))
   MARK(cons1(z0, cons1(2nd(cons(y0, y1)), y2))) -> c11(MARK(cons1(2nd(cons(y0, y1)), y2)))
   MARK(cons1(z0, cons1(2nd(s(y0)), y1))) -> c11(MARK(cons1(2nd(s(y0)), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(2nd(y0))), y1))) -> c11(MARK(cons1(2nd(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(from(y0))), y1))) -> c11(MARK(cons1(2nd(2nd(from(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(cons(y0, y1))), y2))) -> c11(MARK(cons1(2nd(2nd(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(2nd(s(y0))), y1))) -> c11(MARK(cons1(2nd(2nd(s(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons1(2nd(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(2nd(y0)), y1))) -> c11(MARK(cons1(2nd(2nd(y0)), y1)))
   MARK(cons1(z0, cons1(2nd(from(y0)), y1))) -> c11(MARK(cons1(2nd(from(y0)), y1)))
   MARK(cons1(z0, cons1(2nd(from(2nd(y0))), y1))) -> c11(MARK(cons1(2nd(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(from(from(y0))), y1))) -> c11(MARK(cons1(2nd(from(from(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(from(cons(y0, y1))), y2))) -> c11(MARK(cons1(2nd(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(from(s(y0))), y1))) -> c11(MARK(cons1(2nd(from(s(y0))), y1)))
   MARK(cons1(z0, cons1(2nd(from(cons1(y0, y1))), y2))) -> c11(MARK(cons1(2nd(from(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, 2nd(y1))), y2))) -> c11(MARK(cons1(2nd(cons1(y0, 2nd(y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, from(y1))), y2))) -> c11(MARK(cons1(2nd(cons1(y0, from(y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, cons(y1, y2))), y3))) -> c11(MARK(cons1(2nd(cons1(y0, cons(y1, y2))), y3)))
   MARK(cons1(z0, cons1(2nd(cons1(2nd(y0), y1)), y2))) -> c11(MARK(cons1(2nd(cons1(2nd(y0), y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(from(y0), y1)), y2))) -> c11(MARK(cons1(2nd(cons1(from(y0), y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(cons(y0, y1), y2)), y3))) -> c11(MARK(cons1(2nd(cons1(cons(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(2nd(cons1(s(y0), y1)), y2))) -> c11(MARK(cons1(2nd(cons1(s(y0), y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(cons1(y0, y1), y2)), y3))) -> c11(MARK(cons1(2nd(cons1(cons1(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, y1)), y2))) -> c11(MARK(cons1(2nd(cons1(y0, y1)), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, s(y1))), y2))) -> c11(MARK(cons1(2nd(cons1(y0, s(y1))), y2)))
   MARK(cons1(z0, cons1(2nd(cons1(y0, cons1(y1, y2))), y3))) -> c11(MARK(cons1(2nd(cons1(y0, cons1(y1, y2))), y3)))
   MARK(cons1(z0, cons1(from(cons(y0, y1)), y2))) -> c11(MARK(cons1(from(cons(y0, y1)), y2)))
   MARK(cons1(z0, cons1(from(s(y0)), y1))) -> c11(MARK(cons1(from(s(y0)), y1)))
   MARK(cons1(z0, cons1(from(cons1(y0, y1)), y2))) -> c11(MARK(cons1(from(cons1(y0, y1)), y2)))
   MARK(cons1(z0, cons1(from(2nd(y0)), y1))) -> c11(MARK(cons1(from(2nd(y0)), y1)))
   MARK(cons1(z0, cons1(from(2nd(2nd(y0))), y1))) -> c11(MARK(cons1(from(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(from(2nd(from(y0))), y1))) -> c11(MARK(cons1(from(2nd(from(y0))), y1)))
   MARK(cons1(z0, cons1(from(2nd(cons(y0, y1))), y2))) -> c11(MARK(cons1(from(2nd(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(from(2nd(s(y0))), y1))) -> c11(MARK(cons1(from(2nd(s(y0))), y1)))
   MARK(cons1(z0, cons1(from(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons1(from(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(from(from(y0)), y1))) -> c11(MARK(cons1(from(from(y0)), y1)))
   MARK(cons1(z0, cons1(from(from(2nd(y0))), y1))) -> c11(MARK(cons1(from(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(from(from(from(y0))), y1))) -> c11(MARK(cons1(from(from(from(y0))), y1)))
   MARK(cons1(z0, cons1(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons1(from(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(from(from(s(y0))), y1))) -> c11(MARK(cons1(from(from(s(y0))), y1)))
   MARK(cons1(z0, cons1(from(from(cons1(y0, y1))), y2))) -> c11(MARK(cons1(from(from(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(cons(cons(y0, y1), y2), y3))) -> c11(MARK(cons1(cons(cons(y0, y1), y2), y3)))
   MARK(cons1(z0, cons1(cons(s(y0), y1), y2))) -> c11(MARK(cons1(cons(s(y0), y1), y2)))
   MARK(cons1(z0, cons1(cons(cons1(y0, y1), y2), y3))) -> c11(MARK(cons1(cons(cons1(y0, y1), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(s(y0)), y1), y2))) -> c11(MARK(cons1(cons(2nd(s(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(2nd(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(2nd(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(2nd(y0)), y1), y2))) -> c11(MARK(cons1(cons(2nd(2nd(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(y0)), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(from(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(from(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(2nd(from(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(2nd(from(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(from(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, 2nd(y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, 2nd(y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, from(y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, from(y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, cons(y1, y2))), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(y0, cons(y1, y2))), y3), y4)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(2nd(y0), y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(2nd(y0), y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(from(y0), y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(from(y0), y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(cons(y0, y1), y2)), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(cons(y0, y1), y2)), y3), y4)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(s(y0), y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(s(y0), y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(cons1(y0, y1), y2)), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(cons1(y0, y1), y2)), y3), y4)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, s(y1))), y2), y3))) -> c11(MARK(cons1(cons(2nd(cons1(y0, s(y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(2nd(cons1(y0, cons1(y1, y2))), y3), y4))) -> c11(MARK(cons1(cons(2nd(cons1(y0, cons1(y1, y2))), y3), y4)))
   MARK(cons1(z0, cons1(cons(from(cons(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(from(cons(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(s(y0)), y1), y2))) -> c11(MARK(cons1(cons(from(s(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(cons1(y0, y1)), y2), y3))) -> c11(MARK(cons1(cons(from(cons1(y0, y1)), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(2nd(y0)), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(2nd(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(2nd(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(2nd(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(2nd(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(2nd(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(from(y0)), y1), y2))) -> c11(MARK(cons1(cons(from(from(y0)), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(2nd(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(from(2nd(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(from(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(from(from(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(cons(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(from(cons(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(cons(from(from(s(y0))), y1), y2))) -> c11(MARK(cons1(cons(from(from(s(y0))), y1), y2)))
   MARK(cons1(z0, cons1(cons(from(from(cons1(y0, y1))), y2), y3))) -> c11(MARK(cons1(cons(from(from(cons1(y0, y1))), y2), y3)))
   MARK(cons1(z0, cons1(s(s(y0)), y1))) -> c11(MARK(cons1(s(s(y0)), y1)))
   MARK(cons1(z0, cons1(s(cons1(y0, y1)), y2))) -> c11(MARK(cons1(s(cons1(y0, y1)), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons(y0, y1))), y2))) -> c11(MARK(cons1(s(2nd(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(s(y0))), y1))) -> c11(MARK(cons1(s(2nd(s(y0))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(2nd(y0)))), y1))) -> c11(MARK(cons1(s(2nd(2nd(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(from(y0)))), y1))) -> c11(MARK(cons1(s(2nd(2nd(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(2nd(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(2nd(s(y0)))), y1))) -> c11(MARK(cons1(s(2nd(2nd(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(2nd(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(2nd(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(2nd(y0))), y1))) -> c11(MARK(cons1(s(2nd(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(y0))), y1))) -> c11(MARK(cons1(s(2nd(from(y0))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(2nd(y0)))), y1))) -> c11(MARK(cons1(s(2nd(from(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(from(y0)))), y1))) -> c11(MARK(cons1(s(2nd(from(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(from(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(from(s(y0)))), y1))) -> c11(MARK(cons1(s(2nd(from(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(2nd(from(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(2nd(from(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, 2nd(y1)))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, 2nd(y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, from(y1)))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, from(y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, cons(y1, y2)))), y3))) -> c11(MARK(cons1(s(2nd(cons1(y0, cons(y1, y2)))), y3)))
   MARK(cons1(z0, cons1(s(2nd(cons1(2nd(y0), y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(2nd(y0), y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(from(y0), y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(from(y0), y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(cons(y0, y1), y2))), y3))) -> c11(MARK(cons1(s(2nd(cons1(cons(y0, y1), y2))), y3)))
   MARK(cons1(z0, cons1(s(2nd(cons1(s(y0), y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(s(y0), y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(cons1(y0, y1), y2))), y3))) -> c11(MARK(cons1(s(2nd(cons1(cons1(y0, y1), y2))), y3)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, y1))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, s(y1)))), y2))) -> c11(MARK(cons1(s(2nd(cons1(y0, s(y1)))), y2)))
   MARK(cons1(z0, cons1(s(2nd(cons1(y0, cons1(y1, y2)))), y3))) -> c11(MARK(cons1(s(2nd(cons1(y0, cons1(y1, y2)))), y3)))
   MARK(cons1(z0, cons1(s(from(cons(y0, y1))), y2))) -> c11(MARK(cons1(s(from(cons(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(from(s(y0))), y1))) -> c11(MARK(cons1(s(from(s(y0))), y1)))
   MARK(cons1(z0, cons1(s(from(cons1(y0, y1))), y2))) -> c11(MARK(cons1(s(from(cons1(y0, y1))), y2)))
   MARK(cons1(z0, cons1(s(from(2nd(y0))), y1))) -> c11(MARK(cons1(s(from(2nd(y0))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(2nd(y0)))), y1))) -> c11(MARK(cons1(s(from(2nd(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(from(y0)))), y1))) -> c11(MARK(cons1(s(from(2nd(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(2nd(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(from(2nd(s(y0)))), y1))) -> c11(MARK(cons1(s(from(2nd(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(2nd(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(2nd(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(from(from(y0))), y1))) -> c11(MARK(cons1(s(from(from(y0))), y1)))
   MARK(cons1(z0, cons1(s(from(from(2nd(y0)))), y1))) -> c11(MARK(cons1(s(from(from(2nd(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(from(from(y0)))), y1))) -> c11(MARK(cons1(s(from(from(from(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(from(cons(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(from(cons(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(from(from(s(y0)))), y1))) -> c11(MARK(cons1(s(from(from(s(y0)))), y1)))
   MARK(cons1(z0, cons1(s(from(from(cons1(y0, y1)))), y2))) -> c11(MARK(cons1(s(from(from(cons1(y0, y1)))), y2)))
   MARK(cons1(z0, cons1(s(cons(cons(y0, y1), y2)), y3))) -> c11(MARK(cons1(s(cons(cons(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(s(y0), y1)), y2))) -> c11(MARK(cons1(s(cons(s(y0), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(cons1(y0, y1), y2)), y3))) -> c11(MARK(cons1(s(cons(cons1(y0, y1), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(s(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(s(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(2nd(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(2nd(cons1(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(2nd(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(2nd(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(from(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(2nd(from(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(2nd(from(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(from(cons1(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, 2nd(y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, 2nd(y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, from(y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, from(y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, cons(y1, y2))), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, cons(y1, y2))), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(2nd(y0), y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(2nd(y0), y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(from(y0), y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(from(y0), y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(cons(y0, y1), y2)), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(cons(y0, y1), y2)), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(s(y0), y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(s(y0), y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(cons1(y0, y1), y2)), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, s(y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, s(y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)), y4))) -> c11(MARK(cons1(s(cons(2nd(cons1(y0, cons1(y1, y2))), y3)), y4)))
   MARK(cons1(z0, cons1(s(cons(from(cons(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(from(cons(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(s(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(from(s(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(cons1(y0, y1)), y2)), y3))) -> c11(MARK(cons1(s(cons(from(cons1(y0, y1)), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(2nd(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(2nd(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(2nd(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(2nd(cons1(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(from(y0)), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(y0)), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(2nd(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(2nd(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(from(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(from(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(cons(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(from(cons(y0, y1))), y2)), y3)))
   MARK(cons1(z0, cons1(s(cons(from(from(s(y0))), y1)), y2))) -> c11(MARK(cons1(s(cons(from(from(s(y0))), y1)), y2)))
   MARK(cons1(z0, cons1(s(cons(from(from(cons1(y0, y1))), y2)), y3))) -> c11(MARK(cons1(s(cons(from(from(cons1(y0, y1))), y2)), y3)))
K tuples:none
Defined Rule Symbols:   a__2nd_1, a__from_1, mark_1

Defined Pair Symbols:   A__2ND_1, MARK_1, A__FROM_1

Compound Symbols:   c1_1, c2_1, c6_2, c6_1, c1_2, c2_2, c_1, c4_1, c7_2, c8_1, c9_1, c10_1, c11_1


----------------------------------------

(145) RelTrsToWeightedTrsProof (UPPER BOUND(ID))
Transformed relative TRS to weighted TRS
----------------------------------------

(146)
Obligation:
The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   a__2nd(cons1(X, cons(Y, Z))) -> mark(Y) [1]
   a__2nd(cons(X, X1)) -> a__2nd(cons1(mark(X), mark(X1))) [1]
   a__from(X) -> cons(mark(X), from(s(X))) [1]
   mark(2nd(X)) -> a__2nd(mark(X)) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(cons1(X1, X2)) -> cons1(mark(X1), mark(X2)) [1]
   a__2nd(X) -> 2nd(X) [1]
   a__from(X) -> from(X) [1]

Rewrite Strategy: INNERMOST
----------------------------------------

(147) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Infered types.
----------------------------------------

(148)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   a__2nd(cons1(X, cons(Y, Z))) -> mark(Y) [1]
   a__2nd(cons(X, X1)) -> a__2nd(cons1(mark(X), mark(X1))) [1]
   a__from(X) -> cons(mark(X), from(s(X))) [1]
   mark(2nd(X)) -> a__2nd(mark(X)) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(cons1(X1, X2)) -> cons1(mark(X1), mark(X2)) [1]
   a__2nd(X) -> 2nd(X) [1]
   a__from(X) -> from(X) [1]

The TRS has the following type information:
a__2nd :: cons:cons1:s:from:2nd -> cons:cons1:s:from:2nd
cons1 :: cons:cons1:s:from:2nd -> cons:cons1:s:from:2nd -> cons:cons1:s:from:2nd
cons :: cons:cons1:s:from:2nd -> cons:cons1:s:from:2nd -> cons:cons1:s:from:2nd
mark :: cons:cons1:s:from:2nd -> cons:cons1:s:from:2nd
a__from :: cons:cons1:s:from:2nd -> cons:cons1:s:from:2nd
from :: cons:cons1:s:from:2nd -> cons:cons1:s:from:2nd
s :: cons:cons1:s:from:2nd -> cons:cons1:s:from:2nd
2nd :: cons:cons1:s:from:2nd -> cons:cons1:s:from:2nd

Rewrite Strategy: INNERMOST
----------------------------------------

(149) CompletionProof (UPPER BOUND(ID))
The transformation into a RNTS is sound, since:

(a) The obligation is a constructor system where every type has a constant constructor,

(b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols:
none

(c) The following functions are completely defined:

   mark_1
   a__2nd_1
   a__from_1

Due to the following rules being added:

   mark(v0) -> const [0]

And the following fresh constants:    const

----------------------------------------

(150)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   a__2nd(cons1(X, cons(Y, Z))) -> mark(Y) [1]
   a__2nd(cons(X, X1)) -> a__2nd(cons1(mark(X), mark(X1))) [1]
   a__from(X) -> cons(mark(X), from(s(X))) [1]
   mark(2nd(X)) -> a__2nd(mark(X)) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(cons1(X1, X2)) -> cons1(mark(X1), mark(X2)) [1]
   a__2nd(X) -> 2nd(X) [1]
   a__from(X) -> from(X) [1]
   mark(v0) -> const [0]

The TRS has the following type information:
a__2nd :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
cons1 :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
cons :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
mark :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
a__from :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
from :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
s :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
2nd :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
const :: cons:cons1:s:from:2nd:const

Rewrite Strategy: INNERMOST
----------------------------------------

(151) NarrowingProof (BOTH BOUNDS(ID, ID))
Narrowed the inner basic terms of all right-hand sides by a single narrowing step.
----------------------------------------

(152)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   a__2nd(cons1(X, cons(Y, Z))) -> mark(Y) [1]
   a__2nd(cons(X, X1)) -> a__2nd(cons1(mark(X), mark(X1))) [1]
   a__from(X) -> cons(mark(X), from(s(X))) [1]
   mark(2nd(2nd(X36))) -> a__2nd(a__2nd(mark(X36))) [2]
   mark(2nd(from(X37))) -> a__2nd(a__from(mark(X37))) [2]
   mark(2nd(cons(X116, X214))) -> a__2nd(cons(mark(X116), X214)) [2]
   mark(2nd(s(X38))) -> a__2nd(s(mark(X38))) [2]
   mark(2nd(cons1(X117, X215))) -> a__2nd(cons1(mark(X117), mark(X215))) [2]
   mark(2nd(X)) -> a__2nd(const) [1]
   mark(from(2nd(X39))) -> a__from(a__2nd(mark(X39))) [2]
   mark(from(from(X40))) -> a__from(a__from(mark(X40))) [2]
   mark(from(cons(X118, X216))) -> a__from(cons(mark(X118), X216)) [2]
   mark(from(s(X41))) -> a__from(s(mark(X41))) [2]
   mark(from(cons1(X119, X217))) -> a__from(cons1(mark(X119), mark(X217))) [2]
   mark(from(X)) -> a__from(const) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(cons1(X1, X2)) -> cons1(mark(X1), mark(X2)) [1]
   a__2nd(X) -> 2nd(X) [1]
   a__from(X) -> from(X) [1]
   mark(v0) -> const [0]

The TRS has the following type information:
a__2nd :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
cons1 :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
cons :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
mark :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
a__from :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
from :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
s :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
2nd :: cons:cons1:s:from:2nd:const -> cons:cons1:s:from:2nd:const
const :: cons:cons1:s:from:2nd:const

Rewrite Strategy: INNERMOST
----------------------------------------

(153) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   const => 0

----------------------------------------

(154)
Obligation:
Complexity RNTS consisting of the following rules:

   a__2nd(z) -{ 1 }-> mark(Y) :|: z = 1 + X + (1 + Y + Z), Z >= 0, Y >= 0, X >= 0
   a__2nd(z) -{ 1 }-> a__2nd(1 + mark(X) + mark(X1)) :|: X1 >= 0, X >= 0, z = 1 + X + X1
   a__2nd(z) -{ 1 }-> 1 + X :|: X >= 0, z = X
   a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X
   a__from(z) -{ 1 }-> 1 + mark(X) + (1 + (1 + X)) :|: X >= 0, z = X
   mark(z) -{ 2 }-> a__from(a__from(mark(X40))) :|: z = 1 + (1 + X40), X40 >= 0
   mark(z) -{ 2 }-> a__from(a__2nd(mark(X39))) :|: z = 1 + (1 + X39), X39 >= 0
   mark(z) -{ 1 }-> a__from(0) :|: z = 1 + X, X >= 0
   mark(z) -{ 2 }-> a__from(1 + mark(X41)) :|: X41 >= 0, z = 1 + (1 + X41)
   mark(z) -{ 2 }-> a__from(1 + mark(X118) + X216) :|: X118 >= 0, X216 >= 0, z = 1 + (1 + X118 + X216)
   mark(z) -{ 2 }-> a__from(1 + mark(X119) + mark(X217)) :|: z = 1 + (1 + X119 + X217), X119 >= 0, X217 >= 0
   mark(z) -{ 2 }-> a__2nd(a__from(mark(X37))) :|: X37 >= 0, z = 1 + (1 + X37)
   mark(z) -{ 2 }-> a__2nd(a__2nd(mark(X36))) :|: X36 >= 0, z = 1 + (1 + X36)
   mark(z) -{ 1 }-> a__2nd(0) :|: z = 1 + X, X >= 0
   mark(z) -{ 2 }-> a__2nd(1 + mark(X38)) :|: X38 >= 0, z = 1 + (1 + X38)
   mark(z) -{ 2 }-> a__2nd(1 + mark(X116) + X214) :|: X214 >= 0, z = 1 + (1 + X116 + X214), X116 >= 0
   mark(z) -{ 2 }-> a__2nd(1 + mark(X117) + mark(X215)) :|: z = 1 + (1 + X117 + X215), X117 >= 0, X215 >= 0
   mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> 1 + mark(X1) + mark(X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2


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(155) SimplificationProof (BOTH BOUNDS(ID, ID))
Simplified the RNTS by moving equalities from the constraints into the right-hand sides.
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(156)
Obligation:
Complexity RNTS consisting of the following rules:

   a__2nd(z) -{ 1 }-> mark(Y) :|: z = 1 + X + (1 + Y + Z), Z >= 0, Y >= 0, X >= 0
   a__2nd(z) -{ 1 }-> a__2nd(1 + mark(X) + mark(X1)) :|: X1 >= 0, X >= 0, z = 1 + X + X1
   a__2nd(z) -{ 1 }-> 1 + z :|: z >= 0
   a__from(z) -{ 1 }-> 1 + z :|: z >= 0
   a__from(z) -{ 1 }-> 1 + mark(z) + (1 + (1 + z)) :|: z >= 0
   mark(z) -{ 2 }-> a__from(a__from(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> a__from(a__2nd(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 1 }-> a__from(0) :|: z - 1 >= 0
   mark(z) -{ 2 }-> a__from(1 + mark(z - 2)) :|: z - 2 >= 0
   mark(z) -{ 2 }-> a__from(1 + mark(X118) + X216) :|: X118 >= 0, X216 >= 0, z = 1 + (1 + X118 + X216)
   mark(z) -{ 2 }-> a__from(1 + mark(X119) + mark(X217)) :|: z = 1 + (1 + X119 + X217), X119 >= 0, X217 >= 0
   mark(z) -{ 2 }-> a__2nd(a__from(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> a__2nd(a__2nd(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 1 }-> a__2nd(0) :|: z - 1 >= 0
   mark(z) -{ 2 }-> a__2nd(1 + mark(z - 2)) :|: z - 2 >= 0
   mark(z) -{ 2 }-> a__2nd(1 + mark(X116) + X214) :|: X214 >= 0, z = 1 + (1 + X116 + X214), X116 >= 0
   mark(z) -{ 2 }-> a__2nd(1 + mark(X117) + mark(X215)) :|: z = 1 + (1 + X117 + X215), X117 >= 0, X215 >= 0
   mark(z) -{ 0 }-> 0 :|: z >= 0
   mark(z) -{ 1 }-> 1 + mark(z - 1) :|: z - 1 >= 0
   mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> 1 + mark(X1) + mark(X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2


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(157) CompletionProof (UPPER BOUND(ID))
The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added:

   mark(v0) -> null_mark [0]

And the following fresh constants:    null_mark

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(158)
Obligation:
Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   a__2nd(cons1(X, cons(Y, Z))) -> mark(Y) [1]
   a__2nd(cons(X, X1)) -> a__2nd(cons1(mark(X), mark(X1))) [1]
   a__from(X) -> cons(mark(X), from(s(X))) [1]
   mark(2nd(X)) -> a__2nd(mark(X)) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(cons1(X1, X2)) -> cons1(mark(X1), mark(X2)) [1]
   a__2nd(X) -> 2nd(X) [1]
   a__from(X) -> from(X) [1]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
a__2nd :: cons:cons1:s:from:2nd:null_mark -> cons:cons1:s:from:2nd:null_mark
cons1 :: cons:cons1:s:from:2nd:null_mark -> cons:cons1:s:from:2nd:null_mark -> cons:cons1:s:from:2nd:null_mark
cons :: cons:cons1:s:from:2nd:null_mark -> cons:cons1:s:from:2nd:null_mark -> cons:cons1:s:from:2nd:null_mark
mark :: cons:cons1:s:from:2nd:null_mark -> cons:cons1:s:from:2nd:null_mark
a__from :: cons:cons1:s:from:2nd:null_mark -> cons:cons1:s:from:2nd:null_mark
from :: cons:cons1:s:from:2nd:null_mark -> cons:cons1:s:from:2nd:null_mark
s :: cons:cons1:s:from:2nd:null_mark -> cons:cons1:s:from:2nd:null_mark
2nd :: cons:cons1:s:from:2nd:null_mark -> cons:cons1:s:from:2nd:null_mark
null_mark :: cons:cons1:s:from:2nd:null_mark

Rewrite Strategy: INNERMOST
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(159) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   null_mark => 0

----------------------------------------

(160)
Obligation:
Complexity RNTS consisting of the following rules:

   a__2nd(z) -{ 1 }-> mark(Y) :|: z = 1 + X + (1 + Y + Z), Z >= 0, Y >= 0, X >= 0
   a__2nd(z) -{ 1 }-> a__2nd(1 + mark(X) + mark(X1)) :|: X1 >= 0, X >= 0, z = 1 + X + X1
   a__2nd(z) -{ 1 }-> 1 + X :|: X >= 0, z = X
   a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X
   a__from(z) -{ 1 }-> 1 + mark(X) + (1 + (1 + X)) :|: X >= 0, z = X
   mark(z) -{ 1 }-> a__from(mark(X)) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> a__2nd(mark(X)) :|: z = 1 + X, X >= 0
   mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> 1 + mark(X1) + mark(X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2

Only complete derivations are relevant for the runtime complexity.