KILLED
proof of input_S8JSttbJfM.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# AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished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) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) CpxRelTRS
    (11) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (12) typed CpxTrs
    (13) OrderProof [LOWER BOUND(ID), 11 ms]
    (14) typed CpxTrs
    (15) RewriteLemmaProof [LOWER BOUND(ID), 8675 ms]
    (16) typed CpxTrs
    (17) RewriteLemmaProof [LOWER BOUND(ID), 1414 ms]
    (18) BEST
        (19) proven lower bound
            (20) LowerBoundPropagationProof [FINISHED, 0 ms]
            (21) BOUNDS(n^1, INF)
        (22) typed CpxTrs
(23) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(24) CdtProblem
    (25) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (26) CdtProblem
    (27) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (28) CpxRelTRS
        (29) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
        (30) CpxTRS
        (31) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (32) CpxWeightedTrs
            (33) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
            (34) CpxTypedWeightedTrs
            (35) CompletionProof [UPPER BOUND(ID), 0 ms]
            (36) CpxTypedWeightedCompleteTrs
                (37) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
                (38) CpxTypedWeightedCompleteTrs
                (39) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
                (40) CpxRNTS
                (41) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
                (42) CpxRNTS
            (43) CompletionProof [UPPER BOUND(ID), 0 ms]
            (44) CpxTypedWeightedCompleteTrs
                (45) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
                (46) CpxRNTS
    (47) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
    (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (50) CdtProblem
        (51) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (54) CdtProblem
        (55) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (58) CdtProblem
        (59) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (60) CdtProblem
        (61) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (62) CdtProblem
        (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (64) CdtProblem
        (65) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (66) CdtProblem
        (67) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (68) CdtProblem
        (69) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (70) CdtProblem
        (71) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (72) CdtProblem
        (73) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (74) CdtProblem
        (75) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (76) CdtProblem
        (77) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (78) CdtProblem
        (79) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 4 ms]
        (80) CdtProblem
        (81) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (82) CdtProblem
        (83) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (84) CdtProblem
        (85) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (86) CdtProblem
        (87) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (88) CdtProblem
        (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (90) CdtProblem
        (91) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (92) CdtProblem
        (93) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (94) CdtProblem
        (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (96) CdtProblem
        (97) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (98) CdtProblem
        (99) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 7 ms]
        (100) CdtProblem
        (101) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (102) CdtProblem
        (103) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (104) CdtProblem
        (105) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 9 ms]
        (106) CdtProblem
        (107) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (108) CdtProblem
        (109) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (110) CdtProblem
        (111) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (112) CdtProblem
        (113) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (114) CdtProblem
        (115) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 8 ms]
        (116) CdtProblem
        (117) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (118) CdtProblem
        (119) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 10 ms]
        (120) CdtProblem
        (121) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (122) CdtProblem
        (123) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (124) CdtProblem
        (125) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (126) CdtProblem
        (127) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (128) CdtProblem
        (129) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (130) CdtProblem
        (131) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (132) CdtProblem
        (133) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (134) CdtProblem
        (135) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (136) CdtProblem
        (137) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (138) CdtProblem
        (139) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (140) CdtProblem
        (141) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (142) CdtProblem
        (143) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (144) CdtProblem
        (145) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 8 ms]
        (146) CdtProblem
        (147) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (148) CdtProblem
        (149) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (150) CdtProblem
        (151) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (152) CdtProblem
        (153) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (154) CdtProblem
        (155) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 90 ms]
        (156) CdtProblem
        (157) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 143 ms]
        (158) CdtProblem
(159) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms]
(160) CpxWeightedTrs
    (161) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (162) CpxTypedWeightedTrs
    (163) CompletionProof [UPPER BOUND(ID), 0 ms]
    (164) CpxTypedWeightedCompleteTrs
        (165) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (166) CpxTypedWeightedCompleteTrs
        (167) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (168) CpxRNTS
        (169) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (170) CpxRNTS
    (171) CompletionProof [UPPER BOUND(ID), 0 ms]
    (172) CpxTypedWeightedCompleteTrs
        (173) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (174) 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__from(X) -> cons(mark(X), from(s(X)))
   a__length(nil) -> 0
   a__length(cons(X, Y)) -> s(a__length1(Y))
   a__length1(X) -> a__length(X)
   mark(from(X)) -> a__from(mark(X))
   mark(length(X)) -> a__length(X)
   mark(length1(X)) -> a__length1(X)
   mark(cons(X1, X2)) -> cons(mark(X1), X2)
   mark(s(X)) -> s(mark(X))
   mark(nil) -> nil
   mark(0) -> 0
   a__from(X) -> from(X)
   a__length(X) -> length(X)
   a__length1(X) -> length1(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__from(X) -> cons(mark(X), from(s(X)))
   a__length(nil) -> 0'
   a__length(cons(X, Y)) -> s(a__length1(Y))
   a__length1(X) -> a__length(X)
   mark(from(X)) -> a__from(mark(X))
   mark(length(X)) -> a__length(X)
   mark(length1(X)) -> a__length1(X)
   mark(cons(X1, X2)) -> cons(mark(X1), X2)
   mark(s(X)) -> s(mark(X))
   mark(nil) -> nil
   mark(0') -> 0'
   a__from(X) -> from(X)
   a__length(X) -> length(X)
   a__length1(X) -> length1(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__from(X) -> cons(mark(X), from(s(X)))
   a__length(nil) -> 0
   a__length(cons(X, Y)) -> s(a__length1(Y))
   a__length1(X) -> a__length(X)
   mark(from(X)) -> a__from(mark(X))
   mark(length(X)) -> a__length(X)
   mark(length1(X)) -> a__length1(X)
   mark(cons(X1, X2)) -> cons(mark(X1), X2)
   mark(s(X)) -> s(mark(X))
   mark(nil) -> nil
   mark(0) -> 0
   a__from(X) -> from(X)
   a__length(X) -> length(X)
   a__length1(X) -> length1(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__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__FROM(z0) -> c(MARK(z0))
   A__FROM(z0) -> c1
   A__LENGTH(nil) -> c2
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH(z0) -> c4
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   A__LENGTH1(z0) -> c6
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   MARK(nil) -> c12
   MARK(0) -> c13
S tuples:
   A__FROM(z0) -> c(MARK(z0))
   A__FROM(z0) -> c1
   A__LENGTH(nil) -> c2
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH(z0) -> c4
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   A__LENGTH1(z0) -> c6
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   MARK(nil) -> c12
   MARK(0) -> c13
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__FROM_1, A__LENGTH_1, A__LENGTH1_1, MARK_1

Compound Symbols:   c_1, c1, c2, c3_1, c4, c5_1, c6, c7_2, c8_1, c9_1, c10_1, c11_1, c12, c13


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

(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(n^1, INF).


The TRS R consists of the following rules:

   A__FROM(z0) -> c(MARK(z0))
   A__FROM(z0) -> c1
   A__LENGTH(nil) -> c2
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH(z0) -> c4
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   A__LENGTH1(z0) -> c6
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   MARK(nil) -> c12
   MARK(0) -> c13

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

   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0

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

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

(10)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, INF).


The TRS R consists of the following rules:

   A__FROM(z0) -> c(MARK(z0))
   A__FROM(z0) -> c1
   A__LENGTH(nil) -> c2
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH(z0) -> c4
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   A__LENGTH1(z0) -> c6
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   MARK(nil) -> c12
   MARK(0') -> c13

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

   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0'
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0') -> 0'

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

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

(12)
Obligation:
Innermost TRS:
Rules:
A__FROM(z0) -> c(MARK(z0))
A__FROM(z0) -> c1
A__LENGTH(nil) -> c2
A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
A__LENGTH(z0) -> c4
A__LENGTH1(z0) -> c5(A__LENGTH(z0))
A__LENGTH1(z0) -> c6
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(length(z0)) -> c8(A__LENGTH(z0))
MARK(length1(z0)) -> c9(A__LENGTH1(z0))
MARK(cons(z0, z1)) -> c10(MARK(z0))
MARK(s(z0)) -> c11(MARK(z0))
MARK(nil) -> c12
MARK(0') -> c13
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
a__length(nil) -> 0'
a__length(cons(z0, z1)) -> s(a__length1(z1))
a__length(z0) -> length(z0)
a__length1(z0) -> a__length(z0)
a__length1(z0) -> length1(z0)
mark(from(z0)) -> a__from(mark(z0))
mark(length(z0)) -> a__length(z0)
mark(length1(z0)) -> a__length1(z0)
mark(cons(z0, z1)) -> cons(mark(z0), z1)
mark(s(z0)) -> s(mark(z0))
mark(nil) -> nil
mark(0') -> 0'

Types:
A__FROM :: nil:cons:from:length:length1:s:0' -> c:c1
c :: c7:c8:c9:c10:c11:c12:c13 -> c:c1
MARK :: nil:cons:from:length:length1:s:0' -> c7:c8:c9:c10:c11:c12:c13
c1 :: c:c1
A__LENGTH :: nil:cons:from:length:length1:s:0' -> c2:c3:c4
nil :: nil:cons:from:length:length1:s:0'
c2 :: c2:c3:c4
cons :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c3 :: c5:c6 -> c2:c3:c4
A__LENGTH1 :: nil:cons:from:length:length1:s:0' -> c5:c6
c4 :: c2:c3:c4
c5 :: c2:c3:c4 -> c5:c6
c6 :: c5:c6
from :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c7 :: c:c1 -> c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
mark :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
length :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c8 :: c2:c3:c4 -> c7:c8:c9:c10:c11:c12:c13
length1 :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c9 :: c5:c6 -> c7:c8:c9:c10:c11:c12:c13
c10 :: c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
s :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c11 :: c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
c12 :: c7:c8:c9:c10:c11:c12:c13
0' :: nil:cons:from:length:length1:s:0'
c13 :: c7:c8:c9:c10:c11:c12:c13
a__from :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
a__length :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
a__length1 :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
hole_c:c11_14 :: c:c1
hole_nil:cons:from:length:length1:s:0'2_14 :: nil:cons:from:length:length1:s:0'
hole_c7:c8:c9:c10:c11:c12:c133_14 :: c7:c8:c9:c10:c11:c12:c13
hole_c2:c3:c44_14 :: c2:c3:c4
hole_c5:c65_14 :: c5:c6
gen_nil:cons:from:length:length1:s:0'6_14 :: Nat -> nil:cons:from:length:length1:s:0'
gen_c7:c8:c9:c10:c11:c12:c137_14 :: Nat -> c7:c8:c9:c10:c11:c12:c13

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

(13) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
A__FROM, MARK, A__LENGTH, A__LENGTH1, mark, a__from, a__length, a__length1

They will be analysed ascendingly in the following order:
A__FROM = MARK
A__LENGTH < MARK
A__LENGTH1 < MARK
mark < MARK
A__LENGTH = A__LENGTH1
mark = a__from
a__length < mark
a__length1 < mark
a__length = a__length1

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

(14)
Obligation:
Innermost TRS:
Rules:
A__FROM(z0) -> c(MARK(z0))
A__FROM(z0) -> c1
A__LENGTH(nil) -> c2
A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
A__LENGTH(z0) -> c4
A__LENGTH1(z0) -> c5(A__LENGTH(z0))
A__LENGTH1(z0) -> c6
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(length(z0)) -> c8(A__LENGTH(z0))
MARK(length1(z0)) -> c9(A__LENGTH1(z0))
MARK(cons(z0, z1)) -> c10(MARK(z0))
MARK(s(z0)) -> c11(MARK(z0))
MARK(nil) -> c12
MARK(0') -> c13
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
a__length(nil) -> 0'
a__length(cons(z0, z1)) -> s(a__length1(z1))
a__length(z0) -> length(z0)
a__length1(z0) -> a__length(z0)
a__length1(z0) -> length1(z0)
mark(from(z0)) -> a__from(mark(z0))
mark(length(z0)) -> a__length(z0)
mark(length1(z0)) -> a__length1(z0)
mark(cons(z0, z1)) -> cons(mark(z0), z1)
mark(s(z0)) -> s(mark(z0))
mark(nil) -> nil
mark(0') -> 0'

Types:
A__FROM :: nil:cons:from:length:length1:s:0' -> c:c1
c :: c7:c8:c9:c10:c11:c12:c13 -> c:c1
MARK :: nil:cons:from:length:length1:s:0' -> c7:c8:c9:c10:c11:c12:c13
c1 :: c:c1
A__LENGTH :: nil:cons:from:length:length1:s:0' -> c2:c3:c4
nil :: nil:cons:from:length:length1:s:0'
c2 :: c2:c3:c4
cons :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c3 :: c5:c6 -> c2:c3:c4
A__LENGTH1 :: nil:cons:from:length:length1:s:0' -> c5:c6
c4 :: c2:c3:c4
c5 :: c2:c3:c4 -> c5:c6
c6 :: c5:c6
from :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c7 :: c:c1 -> c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
mark :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
length :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c8 :: c2:c3:c4 -> c7:c8:c9:c10:c11:c12:c13
length1 :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c9 :: c5:c6 -> c7:c8:c9:c10:c11:c12:c13
c10 :: c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
s :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c11 :: c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
c12 :: c7:c8:c9:c10:c11:c12:c13
0' :: nil:cons:from:length:length1:s:0'
c13 :: c7:c8:c9:c10:c11:c12:c13
a__from :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
a__length :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
a__length1 :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
hole_c:c11_14 :: c:c1
hole_nil:cons:from:length:length1:s:0'2_14 :: nil:cons:from:length:length1:s:0'
hole_c7:c8:c9:c10:c11:c12:c133_14 :: c7:c8:c9:c10:c11:c12:c13
hole_c2:c3:c44_14 :: c2:c3:c4
hole_c5:c65_14 :: c5:c6
gen_nil:cons:from:length:length1:s:0'6_14 :: Nat -> nil:cons:from:length:length1:s:0'
gen_c7:c8:c9:c10:c11:c12:c137_14 :: Nat -> c7:c8:c9:c10:c11:c12:c13


Generator Equations:
gen_nil:cons:from:length:length1:s:0'6_14(0) <=> nil
gen_nil:cons:from:length:length1:s:0'6_14(+(x, 1)) <=> cons(gen_nil:cons:from:length:length1:s:0'6_14(x), nil)
gen_c7:c8:c9:c10:c11:c12:c137_14(0) <=> c8(c2)
gen_c7:c8:c9:c10:c11:c12:c137_14(+(x, 1)) <=> c7(c(c8(c2)), gen_c7:c8:c9:c10:c11:c12:c137_14(x))


The following defined symbols remain to be analysed:
a__length1, A__FROM, MARK, A__LENGTH, A__LENGTH1, mark, a__from, a__length

They will be analysed ascendingly in the following order:
A__FROM = MARK
A__LENGTH < MARK
A__LENGTH1 < MARK
mark < MARK
A__LENGTH = A__LENGTH1
mark = a__from
a__length < mark
a__length1 < mark
a__length = a__length1

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

(15) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
mark(gen_nil:cons:from:length:length1:s:0'6_14(n6580_14)) -> gen_nil:cons:from:length:length1:s:0'6_14(n6580_14), rt in Omega(0)

Induction Base:
mark(gen_nil:cons:from:length:length1:s:0'6_14(0)) ->_R^Omega(0)
nil

Induction Step:
mark(gen_nil:cons:from:length:length1:s:0'6_14(+(n6580_14, 1))) ->_R^Omega(0)
cons(mark(gen_nil:cons:from:length:length1:s:0'6_14(n6580_14)), nil) ->_IH
cons(gen_nil:cons:from:length:length1:s:0'6_14(c6581_14), nil)

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

(16)
Obligation:
Innermost TRS:
Rules:
A__FROM(z0) -> c(MARK(z0))
A__FROM(z0) -> c1
A__LENGTH(nil) -> c2
A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
A__LENGTH(z0) -> c4
A__LENGTH1(z0) -> c5(A__LENGTH(z0))
A__LENGTH1(z0) -> c6
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(length(z0)) -> c8(A__LENGTH(z0))
MARK(length1(z0)) -> c9(A__LENGTH1(z0))
MARK(cons(z0, z1)) -> c10(MARK(z0))
MARK(s(z0)) -> c11(MARK(z0))
MARK(nil) -> c12
MARK(0') -> c13
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
a__length(nil) -> 0'
a__length(cons(z0, z1)) -> s(a__length1(z1))
a__length(z0) -> length(z0)
a__length1(z0) -> a__length(z0)
a__length1(z0) -> length1(z0)
mark(from(z0)) -> a__from(mark(z0))
mark(length(z0)) -> a__length(z0)
mark(length1(z0)) -> a__length1(z0)
mark(cons(z0, z1)) -> cons(mark(z0), z1)
mark(s(z0)) -> s(mark(z0))
mark(nil) -> nil
mark(0') -> 0'

Types:
A__FROM :: nil:cons:from:length:length1:s:0' -> c:c1
c :: c7:c8:c9:c10:c11:c12:c13 -> c:c1
MARK :: nil:cons:from:length:length1:s:0' -> c7:c8:c9:c10:c11:c12:c13
c1 :: c:c1
A__LENGTH :: nil:cons:from:length:length1:s:0' -> c2:c3:c4
nil :: nil:cons:from:length:length1:s:0'
c2 :: c2:c3:c4
cons :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c3 :: c5:c6 -> c2:c3:c4
A__LENGTH1 :: nil:cons:from:length:length1:s:0' -> c5:c6
c4 :: c2:c3:c4
c5 :: c2:c3:c4 -> c5:c6
c6 :: c5:c6
from :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c7 :: c:c1 -> c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
mark :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
length :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c8 :: c2:c3:c4 -> c7:c8:c9:c10:c11:c12:c13
length1 :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c9 :: c5:c6 -> c7:c8:c9:c10:c11:c12:c13
c10 :: c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
s :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c11 :: c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
c12 :: c7:c8:c9:c10:c11:c12:c13
0' :: nil:cons:from:length:length1:s:0'
c13 :: c7:c8:c9:c10:c11:c12:c13
a__from :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
a__length :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
a__length1 :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
hole_c:c11_14 :: c:c1
hole_nil:cons:from:length:length1:s:0'2_14 :: nil:cons:from:length:length1:s:0'
hole_c7:c8:c9:c10:c11:c12:c133_14 :: c7:c8:c9:c10:c11:c12:c13
hole_c2:c3:c44_14 :: c2:c3:c4
hole_c5:c65_14 :: c5:c6
gen_nil:cons:from:length:length1:s:0'6_14 :: Nat -> nil:cons:from:length:length1:s:0'
gen_c7:c8:c9:c10:c11:c12:c137_14 :: Nat -> c7:c8:c9:c10:c11:c12:c13


Lemmas:
mark(gen_nil:cons:from:length:length1:s:0'6_14(n6580_14)) -> gen_nil:cons:from:length:length1:s:0'6_14(n6580_14), rt in Omega(0)


Generator Equations:
gen_nil:cons:from:length:length1:s:0'6_14(0) <=> nil
gen_nil:cons:from:length:length1:s:0'6_14(+(x, 1)) <=> cons(gen_nil:cons:from:length:length1:s:0'6_14(x), nil)
gen_c7:c8:c9:c10:c11:c12:c137_14(0) <=> c8(c2)
gen_c7:c8:c9:c10:c11:c12:c137_14(+(x, 1)) <=> c7(c(c8(c2)), gen_c7:c8:c9:c10:c11:c12:c137_14(x))


The following defined symbols remain to be analysed:
a__from, A__FROM, MARK, A__LENGTH, A__LENGTH1

They will be analysed ascendingly in the following order:
A__FROM = MARK
A__LENGTH < MARK
A__LENGTH1 < MARK
mark < MARK
A__LENGTH = A__LENGTH1
mark = a__from

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

(17) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
MARK(gen_nil:cons:from:length:length1:s:0'6_14(+(1, n7734_14))) -> *8_14, rt in Omega(n7734_14)

Induction Base:
MARK(gen_nil:cons:from:length:length1:s:0'6_14(+(1, 0)))

Induction Step:
MARK(gen_nil:cons:from:length:length1:s:0'6_14(+(1, +(n7734_14, 1)))) ->_R^Omega(1)
c10(MARK(gen_nil:cons:from:length:length1:s:0'6_14(+(1, n7734_14)))) ->_IH
c10(*8_14)

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

(18)
Complex Obligation (BEST)

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

(19)
Obligation:
Proved the lower bound n^1 for the following obligation:

Innermost TRS:
Rules:
A__FROM(z0) -> c(MARK(z0))
A__FROM(z0) -> c1
A__LENGTH(nil) -> c2
A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
A__LENGTH(z0) -> c4
A__LENGTH1(z0) -> c5(A__LENGTH(z0))
A__LENGTH1(z0) -> c6
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(length(z0)) -> c8(A__LENGTH(z0))
MARK(length1(z0)) -> c9(A__LENGTH1(z0))
MARK(cons(z0, z1)) -> c10(MARK(z0))
MARK(s(z0)) -> c11(MARK(z0))
MARK(nil) -> c12
MARK(0') -> c13
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
a__length(nil) -> 0'
a__length(cons(z0, z1)) -> s(a__length1(z1))
a__length(z0) -> length(z0)
a__length1(z0) -> a__length(z0)
a__length1(z0) -> length1(z0)
mark(from(z0)) -> a__from(mark(z0))
mark(length(z0)) -> a__length(z0)
mark(length1(z0)) -> a__length1(z0)
mark(cons(z0, z1)) -> cons(mark(z0), z1)
mark(s(z0)) -> s(mark(z0))
mark(nil) -> nil
mark(0') -> 0'

Types:
A__FROM :: nil:cons:from:length:length1:s:0' -> c:c1
c :: c7:c8:c9:c10:c11:c12:c13 -> c:c1
MARK :: nil:cons:from:length:length1:s:0' -> c7:c8:c9:c10:c11:c12:c13
c1 :: c:c1
A__LENGTH :: nil:cons:from:length:length1:s:0' -> c2:c3:c4
nil :: nil:cons:from:length:length1:s:0'
c2 :: c2:c3:c4
cons :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c3 :: c5:c6 -> c2:c3:c4
A__LENGTH1 :: nil:cons:from:length:length1:s:0' -> c5:c6
c4 :: c2:c3:c4
c5 :: c2:c3:c4 -> c5:c6
c6 :: c5:c6
from :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c7 :: c:c1 -> c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
mark :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
length :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c8 :: c2:c3:c4 -> c7:c8:c9:c10:c11:c12:c13
length1 :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c9 :: c5:c6 -> c7:c8:c9:c10:c11:c12:c13
c10 :: c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
s :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c11 :: c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
c12 :: c7:c8:c9:c10:c11:c12:c13
0' :: nil:cons:from:length:length1:s:0'
c13 :: c7:c8:c9:c10:c11:c12:c13
a__from :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
a__length :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
a__length1 :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
hole_c:c11_14 :: c:c1
hole_nil:cons:from:length:length1:s:0'2_14 :: nil:cons:from:length:length1:s:0'
hole_c7:c8:c9:c10:c11:c12:c133_14 :: c7:c8:c9:c10:c11:c12:c13
hole_c2:c3:c44_14 :: c2:c3:c4
hole_c5:c65_14 :: c5:c6
gen_nil:cons:from:length:length1:s:0'6_14 :: Nat -> nil:cons:from:length:length1:s:0'
gen_c7:c8:c9:c10:c11:c12:c137_14 :: Nat -> c7:c8:c9:c10:c11:c12:c13


Lemmas:
mark(gen_nil:cons:from:length:length1:s:0'6_14(n6580_14)) -> gen_nil:cons:from:length:length1:s:0'6_14(n6580_14), rt in Omega(0)


Generator Equations:
gen_nil:cons:from:length:length1:s:0'6_14(0) <=> nil
gen_nil:cons:from:length:length1:s:0'6_14(+(x, 1)) <=> cons(gen_nil:cons:from:length:length1:s:0'6_14(x), nil)
gen_c7:c8:c9:c10:c11:c12:c137_14(0) <=> c8(c2)
gen_c7:c8:c9:c10:c11:c12:c137_14(+(x, 1)) <=> c7(c(c8(c2)), gen_c7:c8:c9:c10:c11:c12:c137_14(x))


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

They will be analysed ascendingly in the following order:
A__FROM = MARK

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

(20) LowerBoundPropagationProof (FINISHED)
Propagated lower bound.
----------------------------------------

(21)
BOUNDS(n^1, INF)

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

(22)
Obligation:
Innermost TRS:
Rules:
A__FROM(z0) -> c(MARK(z0))
A__FROM(z0) -> c1
A__LENGTH(nil) -> c2
A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
A__LENGTH(z0) -> c4
A__LENGTH1(z0) -> c5(A__LENGTH(z0))
A__LENGTH1(z0) -> c6
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(length(z0)) -> c8(A__LENGTH(z0))
MARK(length1(z0)) -> c9(A__LENGTH1(z0))
MARK(cons(z0, z1)) -> c10(MARK(z0))
MARK(s(z0)) -> c11(MARK(z0))
MARK(nil) -> c12
MARK(0') -> c13
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
a__length(nil) -> 0'
a__length(cons(z0, z1)) -> s(a__length1(z1))
a__length(z0) -> length(z0)
a__length1(z0) -> a__length(z0)
a__length1(z0) -> length1(z0)
mark(from(z0)) -> a__from(mark(z0))
mark(length(z0)) -> a__length(z0)
mark(length1(z0)) -> a__length1(z0)
mark(cons(z0, z1)) -> cons(mark(z0), z1)
mark(s(z0)) -> s(mark(z0))
mark(nil) -> nil
mark(0') -> 0'

Types:
A__FROM :: nil:cons:from:length:length1:s:0' -> c:c1
c :: c7:c8:c9:c10:c11:c12:c13 -> c:c1
MARK :: nil:cons:from:length:length1:s:0' -> c7:c8:c9:c10:c11:c12:c13
c1 :: c:c1
A__LENGTH :: nil:cons:from:length:length1:s:0' -> c2:c3:c4
nil :: nil:cons:from:length:length1:s:0'
c2 :: c2:c3:c4
cons :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c3 :: c5:c6 -> c2:c3:c4
A__LENGTH1 :: nil:cons:from:length:length1:s:0' -> c5:c6
c4 :: c2:c3:c4
c5 :: c2:c3:c4 -> c5:c6
c6 :: c5:c6
from :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c7 :: c:c1 -> c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
mark :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
length :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c8 :: c2:c3:c4 -> c7:c8:c9:c10:c11:c12:c13
length1 :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c9 :: c5:c6 -> c7:c8:c9:c10:c11:c12:c13
c10 :: c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
s :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
c11 :: c7:c8:c9:c10:c11:c12:c13 -> c7:c8:c9:c10:c11:c12:c13
c12 :: c7:c8:c9:c10:c11:c12:c13
0' :: nil:cons:from:length:length1:s:0'
c13 :: c7:c8:c9:c10:c11:c12:c13
a__from :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
a__length :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
a__length1 :: nil:cons:from:length:length1:s:0' -> nil:cons:from:length:length1:s:0'
hole_c:c11_14 :: c:c1
hole_nil:cons:from:length:length1:s:0'2_14 :: nil:cons:from:length:length1:s:0'
hole_c7:c8:c9:c10:c11:c12:c133_14 :: c7:c8:c9:c10:c11:c12:c13
hole_c2:c3:c44_14 :: c2:c3:c4
hole_c5:c65_14 :: c5:c6
gen_nil:cons:from:length:length1:s:0'6_14 :: Nat -> nil:cons:from:length:length1:s:0'
gen_c7:c8:c9:c10:c11:c12:c137_14 :: Nat -> c7:c8:c9:c10:c11:c12:c13


Lemmas:
mark(gen_nil:cons:from:length:length1:s:0'6_14(n6580_14)) -> gen_nil:cons:from:length:length1:s:0'6_14(n6580_14), rt in Omega(0)
MARK(gen_nil:cons:from:length:length1:s:0'6_14(+(1, n7734_14))) -> *8_14, rt in Omega(n7734_14)


Generator Equations:
gen_nil:cons:from:length:length1:s:0'6_14(0) <=> nil
gen_nil:cons:from:length:length1:s:0'6_14(+(x, 1)) <=> cons(gen_nil:cons:from:length:length1:s:0'6_14(x), nil)
gen_c7:c8:c9:c10:c11:c12:c137_14(0) <=> c8(c2)
gen_c7:c8:c9:c10:c11:c12:c137_14(+(x, 1)) <=> c7(c(c8(c2)), gen_c7:c8:c9:c10:c11:c12:c137_14(x))


The following defined symbols remain to be analysed:
A__FROM

They will be analysed ascendingly in the following order:
A__FROM = MARK

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

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

(24)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__FROM(z0) -> c(MARK(z0))
   A__FROM(z0) -> c1
   A__LENGTH(nil) -> c2
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH(z0) -> c4
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   A__LENGTH1(z0) -> c6
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   MARK(nil) -> c12
   MARK(0) -> c13
S tuples:
   A__FROM(z0) -> c(MARK(z0))
   A__FROM(z0) -> c1
   A__LENGTH(nil) -> c2
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH(z0) -> c4
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   A__LENGTH1(z0) -> c6
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   MARK(nil) -> c12
   MARK(0) -> c13
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__FROM_1, A__LENGTH_1, A__LENGTH1_1, MARK_1

Compound Symbols:   c_1, c1, c2, c3_1, c4, c5_1, c6, c7_2, c8_1, c9_1, c10_1, c11_1, c12, c13


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

(25) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing nodes:
   MARK(0) -> c13
   MARK(nil) -> c12
   A__LENGTH1(z0) -> c6
   A__FROM(z0) -> c1
   A__LENGTH(z0) -> c4
   A__LENGTH(nil) -> c2

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

(26)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__FROM(z0) -> c(MARK(z0))
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
S tuples:
   A__FROM(z0) -> c(MARK(z0))
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__FROM_1, A__LENGTH_1, A__LENGTH1_1, MARK_1

Compound Symbols:   c_1, c3_1, c5_1, c7_2, c8_1, c9_1, c10_1, c11_1


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

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

(28)
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__FROM(z0) -> c(MARK(z0))
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))

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

   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0

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

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

(30)
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__FROM(z0) -> c(MARK(z0))
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0

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

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

(32)
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__FROM(z0) -> c(MARK(z0)) [1]
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1)) [1]
   A__LENGTH1(z0) -> c5(A__LENGTH(z0)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(length(z0)) -> c8(A__LENGTH(z0)) [1]
   MARK(length1(z0)) -> c9(A__LENGTH1(z0)) [1]
   MARK(cons(z0, z1)) -> c10(MARK(z0)) [1]
   MARK(s(z0)) -> c11(MARK(z0)) [1]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   a__length(nil) -> 0 [0]
   a__length(cons(z0, z1)) -> s(a__length1(z1)) [0]
   a__length(z0) -> length(z0) [0]
   a__length1(z0) -> a__length(z0) [0]
   a__length1(z0) -> length1(z0) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(length(z0)) -> a__length(z0) [0]
   mark(length1(z0)) -> a__length1(z0) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(nil) -> nil [0]
   mark(0) -> 0 [0]

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

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

(34)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   A__FROM(z0) -> c(MARK(z0)) [1]
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1)) [1]
   A__LENGTH1(z0) -> c5(A__LENGTH(z0)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(length(z0)) -> c8(A__LENGTH(z0)) [1]
   MARK(length1(z0)) -> c9(A__LENGTH1(z0)) [1]
   MARK(cons(z0, z1)) -> c10(MARK(z0)) [1]
   MARK(s(z0)) -> c11(MARK(z0)) [1]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   a__length(nil) -> 0 [0]
   a__length(cons(z0, z1)) -> s(a__length1(z1)) [0]
   a__length(z0) -> length(z0) [0]
   a__length1(z0) -> a__length(z0) [0]
   a__length1(z0) -> length1(z0) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(length(z0)) -> a__length(z0) [0]
   mark(length1(z0)) -> a__length1(z0) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(nil) -> nil [0]
   mark(0) -> 0 [0]

The TRS has the following type information:
A__FROM :: cons:from:length:length1:s:nil:0 -> c
c :: c7:c8:c9:c10:c11 -> c
MARK :: cons:from:length:length1:s:nil:0 -> c7:c8:c9:c10:c11
A__LENGTH :: cons:from:length:length1:s:nil:0 -> c3
cons :: cons:from:length:length1:s:nil:0 -> cons:from:length:length1:s:nil:0 -> cons:from:length:length1:s:nil:0
c3 :: c5 -> c3
A__LENGTH1 :: cons:from:length:length1:s:nil:0 -> c5
c5 :: c3 -> c5
from :: cons:from:length:length1:s:nil:0 -> cons:from:length:length1:s:nil:0
c7 :: c -> c7:c8:c9:c10:c11 -> c7:c8:c9:c10:c11
mark :: cons:from:length:length1:s:nil:0 -> cons:from:length:length1:s:nil:0
length :: cons:from:length:length1:s:nil:0 -> cons:from:length:length1:s:nil:0
c8 :: c3 -> c7:c8:c9:c10:c11
length1 :: cons:from:length:length1:s:nil:0 -> cons:from:length:length1:s:nil:0
c9 :: c5 -> c7:c8:c9:c10:c11
c10 :: c7:c8:c9:c10:c11 -> c7:c8:c9:c10:c11
s :: cons:from:length:length1:s:nil:0 -> cons:from:length:length1:s:nil:0
c11 :: c7:c8:c9:c10:c11 -> c7:c8:c9:c10:c11
a__from :: cons:from:length:length1:s:nil:0 -> cons:from:length:length1:s:nil:0
a__length :: cons:from:length:length1:s:nil:0 -> cons:from:length:length1:s:nil:0
nil :: cons:from:length:length1:s:nil:0
0 :: cons:from:length:length1:s:nil:0
a__length1 :: cons:from:length:length1:s:nil:0 -> cons:from:length:length1:s:nil:0

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

(35) 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__FROM_1
   A__LENGTH_1
   A__LENGTH1_1
   MARK_1

(c) The following functions are completely defined:

   a__from_1
   a__length_1
   a__length1_1
   mark_1

Due to the following rules being added:

   a__from(v0) -> null_a__from [0]
   a__length(v0) -> null_a__length [0]
   a__length1(v0) -> null_a__length1 [0]
   mark(v0) -> null_mark [0]

And the following fresh constants:    null_a__from, null_a__length, null_a__length1, null_mark, const, const1, const2, const3

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

(36)
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__FROM(z0) -> c(MARK(z0)) [1]
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1)) [1]
   A__LENGTH1(z0) -> c5(A__LENGTH(z0)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(length(z0)) -> c8(A__LENGTH(z0)) [1]
   MARK(length1(z0)) -> c9(A__LENGTH1(z0)) [1]
   MARK(cons(z0, z1)) -> c10(MARK(z0)) [1]
   MARK(s(z0)) -> c11(MARK(z0)) [1]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   a__length(nil) -> 0 [0]
   a__length(cons(z0, z1)) -> s(a__length1(z1)) [0]
   a__length(z0) -> length(z0) [0]
   a__length1(z0) -> a__length(z0) [0]
   a__length1(z0) -> length1(z0) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(length(z0)) -> a__length(z0) [0]
   mark(length1(z0)) -> a__length1(z0) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(nil) -> nil [0]
   mark(0) -> 0 [0]
   a__from(v0) -> null_a__from [0]
   a__length(v0) -> null_a__length [0]
   a__length1(v0) -> null_a__length1 [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
A__FROM :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c
c :: c7:c8:c9:c10:c11 -> c
MARK :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c7:c8:c9:c10:c11
A__LENGTH :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c3
cons :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c3 :: c5 -> c3
A__LENGTH1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c5
c5 :: c3 -> c5
from :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c7 :: c -> c7:c8:c9:c10:c11 -> c7:c8:c9:c10:c11
mark :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
length :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c8 :: c3 -> c7:c8:c9:c10:c11
length1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c9 :: c5 -> c7:c8:c9:c10:c11
c10 :: c7:c8:c9:c10:c11 -> c7:c8:c9:c10:c11
s :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c11 :: c7:c8:c9:c10:c11 -> c7:c8:c9:c10:c11
a__from :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
a__length :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
nil :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
0 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
a__length1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_a__from :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_a__length :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_a__length1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_mark :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
const :: c
const1 :: c7:c8:c9:c10:c11
const2 :: c3
const3 :: c5

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

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

(38)
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__FROM(z0) -> c(MARK(z0)) [1]
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1)) [1]
   A__LENGTH1(z0) -> c5(A__LENGTH(z0)) [1]
   MARK(from(from(z0'))) -> c7(A__FROM(a__from(mark(z0'))), MARK(from(z0'))) [1]
   MARK(from(length(z0''))) -> c7(A__FROM(a__length(z0'')), MARK(length(z0''))) [1]
   MARK(from(length1(z01))) -> c7(A__FROM(a__length1(z01)), MARK(length1(z01))) [1]
   MARK(from(cons(z02, z1'))) -> c7(A__FROM(cons(mark(z02), z1')), MARK(cons(z02, z1'))) [1]
   MARK(from(s(z03))) -> c7(A__FROM(s(mark(z03))), MARK(s(z03))) [1]
   MARK(from(nil)) -> c7(A__FROM(nil), MARK(nil)) [1]
   MARK(from(0)) -> c7(A__FROM(0), MARK(0)) [1]
   MARK(from(z0)) -> c7(A__FROM(null_mark), MARK(z0)) [1]
   MARK(length(z0)) -> c8(A__LENGTH(z0)) [1]
   MARK(length1(z0)) -> c9(A__LENGTH1(z0)) [1]
   MARK(cons(z0, z1)) -> c10(MARK(z0)) [1]
   MARK(s(z0)) -> c11(MARK(z0)) [1]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   a__length(nil) -> 0 [0]
   a__length(cons(z0, z1)) -> s(a__length1(z1)) [0]
   a__length(z0) -> length(z0) [0]
   a__length1(z0) -> a__length(z0) [0]
   a__length1(z0) -> length1(z0) [0]
   mark(from(from(z04))) -> a__from(a__from(mark(z04))) [0]
   mark(from(length(z05))) -> a__from(a__length(z05)) [0]
   mark(from(length1(z06))) -> a__from(a__length1(z06)) [0]
   mark(from(cons(z07, z1''))) -> a__from(cons(mark(z07), z1'')) [0]
   mark(from(s(z08))) -> a__from(s(mark(z08))) [0]
   mark(from(nil)) -> a__from(nil) [0]
   mark(from(0)) -> a__from(0) [0]
   mark(from(z0)) -> a__from(null_mark) [0]
   mark(length(z0)) -> a__length(z0) [0]
   mark(length1(z0)) -> a__length1(z0) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(nil) -> nil [0]
   mark(0) -> 0 [0]
   a__from(v0) -> null_a__from [0]
   a__length(v0) -> null_a__length [0]
   a__length1(v0) -> null_a__length1 [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
A__FROM :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c
c :: c7:c8:c9:c10:c11 -> c
MARK :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c7:c8:c9:c10:c11
A__LENGTH :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c3
cons :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c3 :: c5 -> c3
A__LENGTH1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c5
c5 :: c3 -> c5
from :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c7 :: c -> c7:c8:c9:c10:c11 -> c7:c8:c9:c10:c11
mark :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
length :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c8 :: c3 -> c7:c8:c9:c10:c11
length1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c9 :: c5 -> c7:c8:c9:c10:c11
c10 :: c7:c8:c9:c10:c11 -> c7:c8:c9:c10:c11
s :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c11 :: c7:c8:c9:c10:c11 -> c7:c8:c9:c10:c11
a__from :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
a__length :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
nil :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
0 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
a__length1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_a__from :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_a__length :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_a__length1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_mark :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
const :: c
const1 :: c7:c8:c9:c10:c11
const2 :: c3
const3 :: c5

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

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

   nil => 1
   0 => 0
   null_a__from => 0
   null_a__length => 0
   null_a__length1 => 0
   null_mark => 0
   const => 0
   const1 => 0
   const2 => 0
   const3 => 0

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

(40)
Obligation:
Complexity RNTS consisting of the following rules:

   A__FROM(z) -{ 1 }-> 1 + MARK(z0) :|: z = z0, z0 >= 0
   A__LENGTH(z) -{ 1 }-> 1 + A__LENGTH1(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   A__LENGTH1(z) -{ 1 }-> 1 + A__LENGTH(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 + A__LENGTH1(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + A__LENGTH(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(a__length1(z01)) + MARK(1 + z01) :|: z = 1 + (1 + z01), z01 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(a__length(z0'')) + MARK(1 + z0'') :|: z = 1 + (1 + z0''), z0'' >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(a__from(mark(z0'))) + MARK(1 + z0') :|: z = 1 + (1 + z0'), z0' >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(1) + MARK(1) :|: z = 1 + 1
   MARK(z) -{ 1 }-> 1 + A__FROM(0) + MARK(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(0) + MARK(0) :|: z = 1 + 0
   MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z03)) + MARK(1 + z03) :|: z = 1 + (1 + z03), z03 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z02) + z1') + MARK(1 + z02 + z1') :|: z = 1 + (1 + z02 + z1'), z02 >= 0, z1' >= 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
   a__length(z) -{ 0 }-> 0 :|: z = 1
   a__length(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a__length(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0
   a__length(z) -{ 0 }-> 1 + a__length1(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   a__length1(z) -{ 0 }-> a__length(z0) :|: z = z0, z0 >= 0
   a__length1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a__length1(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0
   mark(z) -{ 0 }-> a__length1(z0) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> a__length(z0) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> a__from(a__length1(z06)) :|: z06 >= 0, z = 1 + (1 + z06)
   mark(z) -{ 0 }-> a__from(a__length(z05)) :|: z05 >= 0, z = 1 + (1 + z05)
   mark(z) -{ 0 }-> a__from(a__from(mark(z04))) :|: z04 >= 0, z = 1 + (1 + z04)
   mark(z) -{ 0 }-> a__from(1) :|: z = 1 + 1
   mark(z) -{ 0 }-> a__from(0) :|: z = 1 + 0
   mark(z) -{ 0 }-> a__from(0) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> a__from(1 + mark(z08)) :|: z08 >= 0, z = 1 + (1 + z08)
   mark(z) -{ 0 }-> a__from(1 + mark(z07) + z1'') :|: z07 >= 0, z = 1 + (1 + z07 + z1''), z1'' >= 0
   mark(z) -{ 0 }-> 1 :|: z = 1
   mark(z) -{ 0 }-> 0 :|: z = 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


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

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

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

   A__FROM(z) -{ 1 }-> 1 + MARK(z) :|: z >= 0
   A__LENGTH(z) -{ 1 }-> 1 + A__LENGTH1(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   A__LENGTH1(z) -{ 1 }-> 1 + A__LENGTH(z) :|: z >= 0
   MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + MARK(z - 1) :|: z - 1 >= 0
   MARK(z) -{ 1 }-> 1 + A__LENGTH1(z - 1) :|: z - 1 >= 0
   MARK(z) -{ 1 }-> 1 + A__LENGTH(z - 1) :|: z - 1 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(a__length1(z - 2)) + MARK(1 + (z - 2)) :|: z - 2 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(a__length(z - 2)) + MARK(1 + (z - 2)) :|: z - 2 >= 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(1) + MARK(1) :|: z = 1 + 1
   MARK(z) -{ 1 }-> 1 + A__FROM(0) + MARK(0) :|: z = 1 + 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(z02) + z1') + MARK(1 + z02 + z1') :|: z = 1 + (1 + z02 + z1'), z02 >= 0, z1' >= 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
   a__length(z) -{ 0 }-> 0 :|: z = 1
   a__length(z) -{ 0 }-> 0 :|: z >= 0
   a__length(z) -{ 0 }-> 1 + z :|: z >= 0
   a__length(z) -{ 0 }-> 1 + a__length1(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   a__length1(z) -{ 0 }-> a__length(z) :|: z >= 0
   a__length1(z) -{ 0 }-> 0 :|: z >= 0
   a__length1(z) -{ 0 }-> 1 + z :|: z >= 0
   mark(z) -{ 0 }-> a__length1(z - 1) :|: z - 1 >= 0
   mark(z) -{ 0 }-> a__length(z - 1) :|: z - 1 >= 0
   mark(z) -{ 0 }-> a__from(a__length1(z - 2)) :|: z - 2 >= 0
   mark(z) -{ 0 }-> a__from(a__length(z - 2)) :|: z - 2 >= 0
   mark(z) -{ 0 }-> a__from(a__from(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 0 }-> a__from(1) :|: z = 1 + 1
   mark(z) -{ 0 }-> a__from(0) :|: z = 1 + 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(z07) + z1'') :|: z07 >= 0, z = 1 + (1 + z07 + z1''), z1'' >= 0
   mark(z) -{ 0 }-> 1 :|: z = 1
   mark(z) -{ 0 }-> 0 :|: z = 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


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

(43) 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__from(v0) -> null_a__from [0]
   a__length(v0) -> null_a__length [0]
   a__length1(v0) -> null_a__length1 [0]
   mark(v0) -> null_mark [0]
   A__LENGTH(v0) -> null_A__LENGTH [0]
   MARK(v0) -> null_MARK [0]

And the following fresh constants:    null_a__from, null_a__length, null_a__length1, null_mark, null_A__LENGTH, null_MARK, const, const1

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

(44)
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__FROM(z0) -> c(MARK(z0)) [1]
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1)) [1]
   A__LENGTH1(z0) -> c5(A__LENGTH(z0)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(length(z0)) -> c8(A__LENGTH(z0)) [1]
   MARK(length1(z0)) -> c9(A__LENGTH1(z0)) [1]
   MARK(cons(z0, z1)) -> c10(MARK(z0)) [1]
   MARK(s(z0)) -> c11(MARK(z0)) [1]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   a__length(nil) -> 0 [0]
   a__length(cons(z0, z1)) -> s(a__length1(z1)) [0]
   a__length(z0) -> length(z0) [0]
   a__length1(z0) -> a__length(z0) [0]
   a__length1(z0) -> length1(z0) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(length(z0)) -> a__length(z0) [0]
   mark(length1(z0)) -> a__length1(z0) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(nil) -> nil [0]
   mark(0) -> 0 [0]
   a__from(v0) -> null_a__from [0]
   a__length(v0) -> null_a__length [0]
   a__length1(v0) -> null_a__length1 [0]
   mark(v0) -> null_mark [0]
   A__LENGTH(v0) -> null_A__LENGTH [0]
   MARK(v0) -> null_MARK [0]

The TRS has the following type information:
A__FROM :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c
c :: c7:c8:c9:c10:c11:null_MARK -> c
MARK :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c7:c8:c9:c10:c11:null_MARK
A__LENGTH :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c3:null_A__LENGTH
cons :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c3 :: c5 -> c3:null_A__LENGTH
A__LENGTH1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> c5
c5 :: c3:null_A__LENGTH -> c5
from :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c7 :: c -> c7:c8:c9:c10:c11:null_MARK -> c7:c8:c9:c10:c11:null_MARK
mark :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
length :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c8 :: c3:null_A__LENGTH -> c7:c8:c9:c10:c11:null_MARK
length1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c9 :: c5 -> c7:c8:c9:c10:c11:null_MARK
c10 :: c7:c8:c9:c10:c11:null_MARK -> c7:c8:c9:c10:c11:null_MARK
s :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
c11 :: c7:c8:c9:c10:c11:null_MARK -> c7:c8:c9:c10:c11:null_MARK
a__from :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
a__length :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
nil :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
0 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
a__length1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark -> cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_a__from :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_a__length :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_a__length1 :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_mark :: cons:from:length:length1:s:nil:0:null_a__from:null_a__length:null_a__length1:null_mark
null_A__LENGTH :: c3:null_A__LENGTH
null_MARK :: c7:c8:c9:c10:c11:null_MARK
const :: c
const1 :: c5

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

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

   nil => 1
   0 => 0
   null_a__from => 0
   null_a__length => 0
   null_a__length1 => 0
   null_mark => 0
   null_A__LENGTH => 0
   null_MARK => 0
   const => 0
   const1 => 0

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

(46)
Obligation:
Complexity RNTS consisting of the following rules:

   A__FROM(z) -{ 1 }-> 1 + MARK(z0) :|: z = z0, z0 >= 0
   A__LENGTH(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   A__LENGTH(z) -{ 1 }-> 1 + A__LENGTH1(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   A__LENGTH1(z) -{ 1 }-> 1 + A__LENGTH(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 + A__LENGTH1(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + A__LENGTH(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(mark(z0)) + MARK(z0) :|: z = 1 + 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
   a__length(z) -{ 0 }-> 0 :|: z = 1
   a__length(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a__length(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0
   a__length(z) -{ 0 }-> 1 + a__length1(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   a__length1(z) -{ 0 }-> a__length(z0) :|: z = z0, z0 >= 0
   a__length1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a__length1(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0
   mark(z) -{ 0 }-> a__length1(z0) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> a__length(z0) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> a__from(mark(z0)) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> 1 :|: z = 1
   mark(z) -{ 0 }-> 0 :|: z = 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

Only complete derivations are relevant for the runtime complexity.

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

(47) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__FROM(z0) -> c(MARK(z0)) by 
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
S tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__LENGTH_1, A__LENGTH1_1, MARK_1, A__FROM_1

Compound Symbols:   c3_1, c5_1, c7_2, c8_1, c9_1, c10_1, c11_1, c_1


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) by 
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(length(z0))) -> c7(A__FROM(a__length(z0)), MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(nil)) -> c7(A__FROM(nil), MARK(nil))
   MARK(from(0)) -> c7(A__FROM(0), MARK(0))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(length(z0))) -> c7(A__FROM(a__length(z0)), MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(nil)) -> c7(A__FROM(nil), MARK(nil))
   MARK(from(0)) -> c7(A__FROM(0), MARK(0))
S tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(length(z0))) -> c7(A__FROM(a__length(z0)), MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(nil)) -> c7(A__FROM(nil), MARK(nil))
   MARK(from(0)) -> c7(A__FROM(0), MARK(0))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__LENGTH_1, A__LENGTH1_1, MARK_1, A__FROM_1

Compound Symbols:   c3_1, c5_1, c8_1, c9_1, c10_1, c11_1, c_1, c7_2


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

(51) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(from(0)) -> c7(A__FROM(0), MARK(0))
   MARK(from(nil)) -> c7(A__FROM(nil), MARK(nil))

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(length(z0))) -> c7(A__FROM(a__length(z0)), MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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)))
S tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(length(z0))) -> c7(A__FROM(a__length(z0)), MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__LENGTH_1, A__LENGTH1_1, MARK_1, A__FROM_1

Compound Symbols:   c3_1, c5_1, c8_1, c9_1, c10_1, c11_1, c_1, c7_2


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

(53) 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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)), MARK(from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)), MARK(from(0)))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(length(z0))) -> c7(A__FROM(a__length(z0)), MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)), MARK(from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)), MARK(from(0)))
S tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(length(z0))) -> c7(A__FROM(a__length(z0)), MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)), MARK(from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)), MARK(from(0)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__LENGTH_1, A__LENGTH1_1, MARK_1, A__FROM_1

Compound Symbols:   c3_1, c5_1, c8_1, c9_1, c10_1, c11_1, c_1, c7_2


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

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(length(z0))) -> c7(A__FROM(a__length(z0)), MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
S tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(length(z0))) -> c7(A__FROM(a__length(z0)), MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__LENGTH_1, A__LENGTH1_1, MARK_1, A__FROM_1

Compound Symbols:   c3_1, c5_1, c8_1, c9_1, c10_1, c11_1, c_1, c7_2, c7_1


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(from(length(z0))) -> c7(A__FROM(a__length(z0)), MARK(length(z0))) by 
   MARK(from(length(nil))) -> c7(A__FROM(0), MARK(length(nil)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c7(A__FROM(length(z0)), MARK(length(z0)))

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(nil))) -> c7(A__FROM(0), MARK(length(nil)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c7(A__FROM(length(z0)), MARK(length(z0)))
S tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(nil))) -> c7(A__FROM(0), MARK(length(nil)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c7(A__FROM(length(z0)), MARK(length(z0)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__LENGTH_1, A__LENGTH1_1, MARK_1, A__FROM_1

Compound Symbols:   c3_1, c5_1, c8_1, c9_1, c10_1, c11_1, c_1, c7_2, c7_1


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

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c7(A__FROM(length(z0)), MARK(length(z0)))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
S tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c7(A__FROM(length(z0)), MARK(length(z0)))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__LENGTH_1, A__LENGTH1_1, MARK_1, A__FROM_1

Compound Symbols:   c3_1, c5_1, c8_1, c9_1, c10_1, c11_1, c_1, c7_2, c7_1


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

(61) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID))
Split RHS of tuples not part of any SCC
----------------------------------------

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
S tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__LENGTH_1, A__LENGTH1_1, MARK_1, A__FROM_1

Compound Symbols:   c3_1, c5_1, c8_1, c9_1, c10_1, c11_1, c_1, c7_2, c7_1, c1_1


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

(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(from(length1(z0))) -> c7(A__FROM(a__length1(z0)), MARK(length1(z0))) by 
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(length1(z0)), MARK(length1(z0)))

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(length1(z0)), MARK(length1(z0)))
S tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(length1(z0)), MARK(length1(z0)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__LENGTH_1, A__LENGTH1_1, MARK_1, A__FROM_1

Compound Symbols:   c3_1, c5_1, c8_1, c9_1, c10_1, c11_1, c_1, c7_2, c7_1, c1_1


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

(65) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID))
Split RHS of tuples not part of any SCC
----------------------------------------

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
S tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   A__LENGTH1(z0) -> c5(A__LENGTH(z0))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__LENGTH_1, A__LENGTH1_1, MARK_1, A__FROM_1

Compound Symbols:   c3_1, c5_1, c8_1, c9_1, c10_1, c11_1, c_1, c7_2, c7_1, c1_1, c2_1


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

(67) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__LENGTH1(z0) -> c5(A__LENGTH(z0)) by 
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
S tuples:
   A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1))
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__LENGTH_1, MARK_1, A__FROM_1, A__LENGTH1_1

Compound Symbols:   c3_1, c8_1, c9_1, c10_1, c11_1, c_1, c7_2, c7_1, c1_1, c2_1, c5_1


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

(69) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__LENGTH(cons(z0, z1)) -> c3(A__LENGTH1(z1)) by 
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
S tuples:
   MARK(length(z0)) -> c8(A__LENGTH(z0))
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c8_1, c9_1, c10_1, c11_1, c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1


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

(71) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(length(z0)) -> c8(A__LENGTH(z0)) by 
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
S tuples:
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(nil))) -> c7(MARK(length(nil)))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c9_1, c10_1, c11_1, c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1


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

(73) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   MARK(from(length(nil))) -> c7(MARK(length(nil)))

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

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
S tuples:
   MARK(length1(z0)) -> c9(A__LENGTH1(z0))
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c9_1, c10_1, c11_1, c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1


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

(75) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(length1(z0)) -> c9(A__LENGTH1(z0)) by 
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
S tuples:
   MARK(cons(z0, z1)) -> c10(MARK(z0))
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c10_1, c11_1, c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(77) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons(z0, z1)) -> c10(MARK(z0)) by 
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
S tuples:
   MARK(s(z0)) -> c11(MARK(z0))
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c11_1, c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1


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

(79) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(z0)) -> c11(MARK(z0)) by 
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
S tuples:
   A__FROM(from(y0)) -> c(MARK(from(y0)))
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1


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

(81) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__FROM(from(y0)) -> c(MARK(from(y0))) by 
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
S tuples:
   A__FROM(length(y0)) -> c(MARK(length(y0)))
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1


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

(83) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__FROM(length(y0)) -> c(MARK(length(y0))) by 
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
S tuples:
   A__FROM(length1(y0)) -> c(MARK(length1(y0)))
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1


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

(85) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__FROM(length1(y0)) -> c(MARK(length1(y0))) by 
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
S tuples:
   A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1)))
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1


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

(87) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1))) by 
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
S tuples:
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   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(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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1


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

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1))) by 
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   MARK(from(cons(nil, x1))) -> c7(A__FROM(cons(nil, x1)), MARK(cons(nil, x1)))
   MARK(from(cons(0, x1))) -> c7(A__FROM(cons(0, x1)), MARK(cons(0, x1)))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   MARK(from(cons(nil, x1))) -> c7(A__FROM(cons(nil, x1)), MARK(cons(nil, x1)))
   MARK(from(cons(0, x1))) -> c7(A__FROM(cons(0, x1)), MARK(cons(0, x1)))
S tuples:
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   MARK(from(cons(nil, x1))) -> c7(A__FROM(cons(nil, x1)), MARK(cons(nil, x1)))
   MARK(from(cons(0, x1))) -> c7(A__FROM(cons(0, x1)), MARK(cons(0, x1)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1


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

(91) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(from(cons(0, x1))) -> c7(A__FROM(cons(0, x1)), MARK(cons(0, x1)))
   MARK(from(cons(nil, x1))) -> c7(A__FROM(cons(nil, x1)), MARK(cons(nil, x1)))

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
S tuples:
   A__FROM(s(y0)) -> c(MARK(s(y0)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c_1, c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1


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

(93) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__FROM(s(y0)) -> c(MARK(s(y0))) by 
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
S tuples:
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__LENGTH1_1, A__LENGTH_1, A__FROM_1

Compound Symbols:   c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1, c_1


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

(95) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0))) by 
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(s(nil))) -> c7(A__FROM(s(nil)), MARK(s(nil)))
   MARK(from(s(0))) -> c7(A__FROM(s(0)), MARK(s(0)))

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

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(s(nil))) -> c7(A__FROM(s(nil)), MARK(s(nil)))
   MARK(from(s(0))) -> c7(A__FROM(s(0)), MARK(s(0)))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(A__FROM(length(z0)))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(s(nil))) -> c7(A__FROM(s(nil)), MARK(s(nil)))
   MARK(from(s(0))) -> c7(A__FROM(s(0)), MARK(s(0)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__LENGTH1_1, A__LENGTH_1, A__FROM_1

Compound Symbols:   c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1, c_1


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

(97) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(from(s(0))) -> c7(A__FROM(s(0)), MARK(s(0)))
   MARK(from(s(nil))) -> c7(A__FROM(s(nil)), MARK(s(nil)))

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

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
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   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__LENGTH1_1, A__LENGTH_1, A__FROM_1

Compound Symbols:   c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1, c_1


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

(99) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(from(length(z0))) -> c1(A__FROM(length(z0))) by 
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))

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

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length(z0))) -> c1(MARK(length(z0)))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__LENGTH1_1, A__LENGTH_1, A__FROM_1

Compound Symbols:   c7_2, c7_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1, c_1


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

(101) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(from(length(z0))) -> c1(MARK(length(z0))) by 
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(A__FROM(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
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   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__LENGTH1_1, A__LENGTH_1, A__FROM_1

Compound Symbols:   c7_2, c7_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1, c_1, c1_1


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

(103) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(from(length1(z0))) -> c2(A__FROM(length1(z0))) by 
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))

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

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(from(length1(z0))) -> c2(MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__LENGTH1_1, A__LENGTH_1, A__FROM_1

Compound Symbols:   c7_2, c7_1, c2_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1, c_1, c1_1


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

(105) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(from(length1(z0))) -> c2(MARK(length1(z0))) by 
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))

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

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
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   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__LENGTH1_1, A__LENGTH_1, A__FROM_1

Compound Symbols:   c7_2, c7_1, c5_1, c3_1, c8_1, c9_1, c10_1, c11_1, c_1, c1_1, c2_1


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

(107) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__LENGTH1(cons(y0, y1)) -> c5(A__LENGTH(cons(y0, y1))) by 
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))

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

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__LENGTH_1, A__FROM_1, A__LENGTH1_1

Compound Symbols:   c7_2, c7_1, c3_1, c8_1, c9_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1


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

(109) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__LENGTH(cons(z0, cons(y0, y1))) -> c3(A__LENGTH1(cons(y0, y1))) by 
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))

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

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2))))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c8_1, c9_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1


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

(111) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(length(cons(y0, cons(y1, y2)))) -> c8(A__LENGTH(cons(y0, cons(y1, y2)))) by 
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))

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

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
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   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c9_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1


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

(113) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(length1(cons(y0, y1))) -> c9(A__LENGTH1(cons(y0, y1))) by 
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))

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

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(115) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons(cons(y0, y1), z1)) -> c10(MARK(cons(y0, y1))) by 
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))

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

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(s(y0), z1)) -> c10(MARK(s(y0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
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   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
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   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
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   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(117) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons(s(y0), z1)) -> c10(MARK(s(y0))) by 
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))

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

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
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   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
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   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
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   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
S tuples:
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   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1))))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
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   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
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   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
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   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
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   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(119) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons(from(cons(y0, y1)), z1)) -> c10(MARK(from(cons(y0, y1)))) by 
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))

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

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
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   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0))))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
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   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
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   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(121) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons(from(s(y0)), z1)) -> c10(MARK(from(s(y0)))) by 
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))

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

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
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   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
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   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
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   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
S tuples:
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   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
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   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
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   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
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   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(123) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons(from(length(y0)), z1)) -> c10(MARK(from(length(y0)))) by 
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))

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

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
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   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
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   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
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   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
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   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
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   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
S tuples:
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   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
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   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
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   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
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   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(125) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons(length(cons(y0, cons(y1, y2))), z1)) -> c10(MARK(length(cons(y0, cons(y1, y2))))) by 
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))

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

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
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   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
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   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
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   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
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   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
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   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
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   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
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   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
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   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
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   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
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   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
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   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
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   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
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   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
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   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
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   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
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   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
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   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
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   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
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   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
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   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
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   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
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   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
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   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
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   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
S tuples:
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   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
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   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
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   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
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   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
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   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(127) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons(length1(cons(y0, y1)), z1)) -> c10(MARK(length1(cons(y0, y1)))) by 
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))

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

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
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   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
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   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
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   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
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   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
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   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
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   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
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   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
S tuples:
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   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(s(y0))) -> c11(MARK(s(y0)))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(129) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(s(y0))) -> c11(MARK(s(y0))) by 
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))

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

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
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   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
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   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
S tuples:
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   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
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   MARK(from(from(nil))) -> c7(A__FROM(a__from(nil)))
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   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1))))
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   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
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   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
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   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
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   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
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   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
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   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
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   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
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   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
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   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
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   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
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   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
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   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
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   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(131) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(from(cons(y0, y1)))) -> c11(MARK(from(cons(y0, y1)))) by 
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))

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

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
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   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(133) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(from(s(y0)))) -> c11(MARK(from(s(y0)))) by 
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))

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

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
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   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
S tuples:
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   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
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   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
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   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
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   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
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   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
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   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
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   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(135) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(from(length(y0)))) -> c11(MARK(from(length(y0)))) by 
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))

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

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
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   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
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   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
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   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
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   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
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   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
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   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
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   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(137) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(length(cons(y0, cons(y1, y2))))) -> c11(MARK(length(cons(y0, cons(y1, y2))))) by 
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))

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

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
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   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
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   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
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   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
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   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
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   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
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   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
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   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
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   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
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   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
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   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
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   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
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   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
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   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
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   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
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   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(139) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(length1(cons(y0, y1)))) -> c11(MARK(length1(cons(y0, y1)))) by 
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))

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

(140)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2)))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(141) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(cons(cons(y0, y1), y2))) -> c11(MARK(cons(cons(y0, y1), y2))) by 
   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
   MARK(s(cons(cons(from(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(from(cons(y0, y1)), z1), z2)))
   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(from(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(from(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))

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

(142)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
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   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
   MARK(s(cons(cons(from(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(from(cons(y0, y1)), z1), z2)))
   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(from(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(from(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
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   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
S tuples:
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   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
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   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
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   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1)))
   MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2)))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
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   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
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   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
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   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
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   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
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   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
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   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
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   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
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   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
   MARK(s(cons(cons(from(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(from(cons(y0, y1)), z1), z2)))
   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(from(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(from(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(143) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(cons(s(y0), y1))) -> c11(MARK(cons(s(y0), y1))) by 
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))

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

(144)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
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   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
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   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
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   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
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   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
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   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
S tuples:
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   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
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   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
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   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
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   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
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   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
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   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
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   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
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   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
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   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
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   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
   MARK(s(cons(cons(from(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(from(cons(y0, y1)), z1), z2)))
   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(from(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(from(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(145) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(cons(from(cons(y0, y1)), y2))) -> c11(MARK(cons(from(cons(y0, y1)), y2))) by 
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))

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

(146)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
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   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
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   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
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   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
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   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
   MARK(s(cons(cons(from(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(from(cons(y0, y1)), z1), z2)))
   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(from(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(from(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1)))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
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   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(147) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(cons(from(s(y0)), y1))) -> c11(MARK(cons(from(s(y0)), y1))) by 
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
   MARK(s(cons(from(s(length(y0))), z1))) -> c11(MARK(cons(from(s(length(y0))), z1)))
   MARK(s(cons(from(s(length1(y0))), z1))) -> c11(MARK(cons(from(s(length1(y0))), z1)))
   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))

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

(148)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
   MARK(s(cons(cons(from(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(from(cons(y0, y1)), z1), z2)))
   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(from(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(from(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
   MARK(s(cons(from(s(length(y0))), z1))) -> c11(MARK(cons(from(s(length(y0))), z1)))
   MARK(s(cons(from(s(length1(y0))), z1))) -> c11(MARK(cons(from(s(length1(y0))), z1)))
   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
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   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
   MARK(s(cons(from(s(length(y0))), z1))) -> c11(MARK(cons(from(s(length(y0))), z1)))
   MARK(s(cons(from(s(length1(y0))), z1))) -> c11(MARK(cons(from(s(length1(y0))), z1)))
   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(149) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(cons(from(length(y0)), y1))) -> c11(MARK(cons(from(length(y0)), y1))) by 
   MARK(s(cons(from(length(cons(y0, y1))), z1))) -> c11(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(s(cons(from(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)))

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

(150)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
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   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
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   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
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   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
   MARK(s(cons(cons(from(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(from(cons(y0, y1)), z1), z2)))
   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(from(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(from(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
   MARK(s(cons(from(s(length(y0))), z1))) -> c11(MARK(cons(from(s(length(y0))), z1)))
   MARK(s(cons(from(s(length1(y0))), z1))) -> c11(MARK(cons(from(s(length1(y0))), z1)))
   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))
   MARK(s(cons(from(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
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   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
   MARK(s(cons(cons(from(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(from(cons(y0, y1)), z1), z2)))
   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(from(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(from(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
   MARK(s(cons(from(s(length(y0))), z1))) -> c11(MARK(cons(from(s(length(y0))), z1)))
   MARK(s(cons(from(s(length1(y0))), z1))) -> c11(MARK(cons(from(s(length1(y0))), z1)))
   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))
   MARK(s(cons(from(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(151) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c11(MARK(cons(length(cons(y0, cons(y1, y2))), y3))) by 
   MARK(s(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3))) -> c11(MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)))

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

(152)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
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   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
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   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
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S tuples:
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   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
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   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
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   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
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   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
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   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
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   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
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   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
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   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
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   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
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   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
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   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
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   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
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   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
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   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
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   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
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   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
   MARK(s(cons(cons(from(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(from(cons(y0, y1)), z1), z2)))
   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(from(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(from(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
   MARK(s(cons(from(s(length(y0))), z1))) -> c11(MARK(cons(from(s(length(y0))), z1)))
   MARK(s(cons(from(s(length1(y0))), z1))) -> c11(MARK(cons(from(s(length1(y0))), z1)))
   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))
   MARK(s(cons(from(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3))) -> c11(MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(153) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(cons(length1(cons(y0, y1)), y2))) -> c11(MARK(cons(length1(cons(y0, y1)), y2))) by 
   MARK(s(cons(length1(cons(z0, cons(y1, y2))), z2))) -> c11(MARK(cons(length1(cons(z0, cons(y1, y2))), z2)))

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

(154)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
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   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
   MARK(s(cons(from(s(length(y0))), z1))) -> c11(MARK(cons(from(s(length(y0))), z1)))
   MARK(s(cons(from(s(length1(y0))), z1))) -> c11(MARK(cons(from(s(length1(y0))), z1)))
   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))
   MARK(s(cons(from(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3))) -> c11(MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)))
   MARK(s(cons(length1(cons(z0, cons(y1, y2))), z2))) -> c11(MARK(cons(length1(cons(z0, cons(y1, y2))), z2)))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
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   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
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   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
   MARK(s(from(s(from(y0))))) -> c11(MARK(from(s(from(y0)))))
   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
   MARK(s(from(s(length1(y0))))) -> c11(MARK(from(s(length1(y0)))))
   MARK(s(from(s(cons(y0, y1))))) -> c11(MARK(from(s(cons(y0, y1)))))
   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
   MARK(s(cons(cons(from(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(from(cons(y0, y1)), z1), z2)))
   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(from(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(from(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
   MARK(s(cons(from(s(length(y0))), z1))) -> c11(MARK(cons(from(s(length(y0))), z1)))
   MARK(s(cons(from(s(length1(y0))), z1))) -> c11(MARK(cons(from(s(length1(y0))), z1)))
   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))
   MARK(s(cons(from(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3))) -> c11(MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)))
   MARK(s(cons(length1(cons(z0, cons(y1, y2))), z2))) -> c11(MARK(cons(length1(cons(z0, cons(y1, y2))), z2)))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(155) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(MARK(length(cons(y0, cons(y1, y2))))) by 
   MARK(from(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c1(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))

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

(156)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(cons(s(cons(from(from(nil)), y0)), z1)) -> c10(MARK(s(cons(from(from(nil)), y0))))
   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
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   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
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   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
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   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
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   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
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   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
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   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
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   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
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   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
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   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
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   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
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   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
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   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
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   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
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   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
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   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
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   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))
   MARK(s(cons(from(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)))
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   MARK(s(cons(length1(cons(z0, cons(y1, y2))), z2))) -> c11(MARK(cons(length1(cons(z0, cons(y1, y2))), z2)))
   MARK(from(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c1(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
S tuples:
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   MARK(from(from(x0))) -> c7(A__FROM(from(mark(x0))), MARK(from(x0)))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
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   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
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   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
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   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
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   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
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   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
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   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
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   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
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   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
   MARK(s(cons(from(s(length(y0))), z1))) -> c11(MARK(cons(from(s(length(y0))), z1)))
   MARK(s(cons(from(s(length1(y0))), z1))) -> c11(MARK(cons(from(s(length1(y0))), z1)))
   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))
   MARK(s(cons(from(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3))) -> c11(MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)))
   MARK(s(cons(length1(cons(z0, cons(y1, y2))), z2))) -> c11(MARK(cons(length1(cons(z0, cons(y1, y2))), z2)))
   MARK(from(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c1(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

(157) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(from(length1(cons(y0, y1)))) -> c2(MARK(length1(cons(y0, y1)))) by 
   MARK(from(length1(cons(z0, cons(y1, y2))))) -> c2(MARK(length1(cons(z0, cons(y1, y2)))))

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

(158)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   a__length(nil) -> 0
   a__length(cons(z0, z1)) -> s(a__length1(z1))
   a__length(z0) -> length(z0)
   a__length1(z0) -> a__length(z0)
   a__length1(z0) -> length1(z0)
   mark(from(z0)) -> a__from(mark(z0))
   mark(length(z0)) -> a__length(z0)
   mark(length1(z0)) -> a__length1(z0)
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
   mark(s(z0)) -> s(mark(z0))
   mark(nil) -> nil
   mark(0) -> 0
Tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
   A__FROM(from(from(length(y0)))) -> c(MARK(from(from(length(y0)))))
   A__FROM(from(from(length1(y0)))) -> c(MARK(from(from(length1(y0)))))
   A__FROM(from(from(cons(y0, y1)))) -> c(MARK(from(from(cons(y0, y1)))))
   A__FROM(from(from(s(y0)))) -> c(MARK(from(from(s(y0)))))
   A__FROM(from(from(nil))) -> c(MARK(from(from(nil))))
   A__FROM(from(from(0))) -> c(MARK(from(from(0))))
   A__FROM(from(length(cons(y0, y1)))) -> c(MARK(from(length(cons(y0, y1)))))
   A__FROM(from(length(y0))) -> c(MARK(from(length(y0))))
   A__FROM(from(length1(y0))) -> c(MARK(from(length1(y0))))
   A__FROM(length(cons(y0, cons(y1, y2)))) -> c(MARK(length(cons(y0, cons(y1, y2)))))
   A__FROM(length1(cons(y0, y1))) -> c(MARK(length1(cons(y0, y1))))
   A__FROM(cons(cons(y0, y1), z1)) -> c(MARK(cons(cons(y0, y1), z1)))
   A__FROM(cons(s(y0), z1)) -> c(MARK(cons(s(y0), z1)))
   A__FROM(cons(from(cons(y0, y1)), z1)) -> c(MARK(cons(from(cons(y0, y1)), z1)))
   A__FROM(cons(from(s(y0)), z1)) -> c(MARK(cons(from(s(y0)), z1)))
   A__FROM(cons(from(from(y0)), z1)) -> c(MARK(cons(from(from(y0)), z1)))
   A__FROM(cons(from(from(from(y0))), z1)) -> c(MARK(cons(from(from(from(y0))), z1)))
   A__FROM(cons(from(from(length(y0))), z1)) -> c(MARK(cons(from(from(length(y0))), z1)))
   A__FROM(cons(from(from(length1(y0))), z1)) -> c(MARK(cons(from(from(length1(y0))), z1)))
   A__FROM(cons(from(from(cons(y0, y1))), z1)) -> c(MARK(cons(from(from(cons(y0, y1))), z1)))
   A__FROM(cons(from(from(s(y0))), z1)) -> c(MARK(cons(from(from(s(y0))), z1)))
   A__FROM(cons(from(from(nil)), z1)) -> c(MARK(cons(from(from(nil)), z1)))
   A__FROM(cons(from(from(0)), z1)) -> c(MARK(cons(from(from(0)), z1)))
   A__FROM(cons(from(length(cons(y0, y1))), z1)) -> c(MARK(cons(from(length(cons(y0, y1))), z1)))
   A__FROM(cons(from(length(y0)), z1)) -> c(MARK(cons(from(length(y0)), z1)))
   A__FROM(cons(from(length1(y0)), z1)) -> c(MARK(cons(from(length1(y0)), z1)))
   A__FROM(cons(length(cons(y0, cons(y1, y2))), z1)) -> c(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   A__FROM(cons(length1(cons(y0, y1)), z1)) -> c(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(from(cons(from(z0), x1))) -> c7(A__FROM(cons(a__from(mark(z0)), x1)), MARK(cons(from(z0), x1)))
   MARK(from(cons(length(z0), x1))) -> c7(A__FROM(cons(a__length(z0), x1)), MARK(cons(length(z0), x1)))
   MARK(from(cons(length1(z0), x1))) -> c7(A__FROM(cons(a__length1(z0), x1)), MARK(cons(length1(z0), x1)))
   MARK(from(cons(cons(z0, z1), x1))) -> c7(A__FROM(cons(cons(mark(z0), z1), x1)), MARK(cons(cons(z0, z1), x1)))
   MARK(from(cons(s(z0), x1))) -> c7(A__FROM(cons(s(mark(z0)), x1)), MARK(cons(s(z0), x1)))
   A__FROM(s(s(y0))) -> c(MARK(s(s(y0))))
   A__FROM(s(from(cons(y0, y1)))) -> c(MARK(s(from(cons(y0, y1)))))
   A__FROM(s(from(s(y0)))) -> c(MARK(s(from(s(y0)))))
   A__FROM(s(from(from(y0)))) -> c(MARK(s(from(from(y0)))))
   A__FROM(s(from(from(from(y0))))) -> c(MARK(s(from(from(from(y0))))))
   A__FROM(s(from(from(length(y0))))) -> c(MARK(s(from(from(length(y0))))))
   A__FROM(s(from(from(length1(y0))))) -> c(MARK(s(from(from(length1(y0))))))
   A__FROM(s(from(from(cons(y0, y1))))) -> c(MARK(s(from(from(cons(y0, y1))))))
   A__FROM(s(from(from(s(y0))))) -> c(MARK(s(from(from(s(y0))))))
   A__FROM(s(from(from(nil)))) -> c(MARK(s(from(from(nil)))))
   A__FROM(s(from(from(0)))) -> c(MARK(s(from(from(0)))))
   A__FROM(s(from(length(cons(y0, y1))))) -> c(MARK(s(from(length(cons(y0, y1))))))
   A__FROM(s(from(length(y0)))) -> c(MARK(s(from(length(y0)))))
   A__FROM(s(from(length1(y0)))) -> c(MARK(s(from(length1(y0)))))
   A__FROM(s(length(cons(y0, cons(y1, y2))))) -> c(MARK(s(length(cons(y0, cons(y1, y2))))))
   A__FROM(s(length1(cons(y0, y1)))) -> c(MARK(s(length1(cons(y0, y1)))))
   A__FROM(s(cons(cons(y0, y1), y2))) -> c(MARK(s(cons(cons(y0, y1), y2))))
   A__FROM(s(cons(s(y0), y1))) -> c(MARK(s(cons(s(y0), y1))))
   A__FROM(s(cons(from(cons(y0, y1)), y2))) -> c(MARK(s(cons(from(cons(y0, y1)), y2))))
   A__FROM(s(cons(from(s(y0)), y1))) -> c(MARK(s(cons(from(s(y0)), y1))))
   A__FROM(s(cons(from(from(y0)), y1))) -> c(MARK(s(cons(from(from(y0)), y1))))
   A__FROM(s(cons(from(from(from(y0))), y1))) -> c(MARK(s(cons(from(from(from(y0))), y1))))
   A__FROM(s(cons(from(from(length(y0))), y1))) -> c(MARK(s(cons(from(from(length(y0))), y1))))
   A__FROM(s(cons(from(from(length1(y0))), y1))) -> c(MARK(s(cons(from(from(length1(y0))), y1))))
   A__FROM(s(cons(from(from(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(from(s(y0))), y1))) -> c(MARK(s(cons(from(from(s(y0))), y1))))
   A__FROM(s(cons(from(from(nil)), y0))) -> c(MARK(s(cons(from(from(nil)), y0))))
   A__FROM(s(cons(from(from(0)), y0))) -> c(MARK(s(cons(from(from(0)), y0))))
   A__FROM(s(cons(from(length(cons(y0, y1))), y2))) -> c(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   A__FROM(s(cons(from(length(y0)), y1))) -> c(MARK(s(cons(from(length(y0)), y1))))
   A__FROM(s(cons(from(length1(y0)), y1))) -> c(MARK(s(cons(from(length1(y0)), y1))))
   A__FROM(s(cons(length(cons(y0, cons(y1, y2))), y3))) -> c(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   A__FROM(s(cons(length1(cons(y0, y1)), y2))) -> c(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(from(s(from(z0)))) -> c7(A__FROM(s(a__from(mark(z0)))), MARK(s(from(z0))))
   MARK(from(s(length(z0)))) -> c7(A__FROM(s(a__length(z0))), MARK(s(length(z0))))
   MARK(from(s(length1(z0)))) -> c7(A__FROM(s(a__length1(z0))), MARK(s(length1(z0))))
   MARK(from(s(cons(z0, z1)))) -> c7(A__FROM(s(cons(mark(z0), z1))), MARK(s(cons(z0, z1))))
   MARK(from(s(s(z0)))) -> c7(A__FROM(s(s(mark(z0)))), MARK(s(s(z0))))
   MARK(from(length(cons(y0, cons(y1, y2))))) -> c1(A__FROM(length(cons(y0, cons(y1, y2)))))
   MARK(from(length1(cons(y0, y1)))) -> c2(A__FROM(length1(cons(y0, y1))))
   A__LENGTH1(cons(z0, cons(y1, y2))) -> c5(A__LENGTH(cons(z0, cons(y1, y2))))
   A__LENGTH(cons(z0, cons(z1, cons(y1, y2)))) -> c3(A__LENGTH1(cons(z1, cons(y1, y2))))
   MARK(length(cons(z0, cons(z1, cons(y2, y3))))) -> c8(A__LENGTH(cons(z0, cons(z1, cons(y2, y3)))))
   MARK(length1(cons(z0, cons(y1, y2)))) -> c9(A__LENGTH1(cons(z0, cons(y1, y2))))
   MARK(cons(cons(cons(y0, y1), z1), z2)) -> c10(MARK(cons(cons(y0, y1), z1)))
   MARK(cons(cons(s(y0), z1), z2)) -> c10(MARK(cons(s(y0), z1)))
   MARK(cons(cons(from(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(from(cons(y0, y1)), z1)))
   MARK(cons(cons(from(s(y0)), z1), z2)) -> c10(MARK(cons(from(s(y0)), z1)))
   MARK(cons(cons(from(from(y0)), z1), z2)) -> c10(MARK(cons(from(from(y0)), z1)))
   MARK(cons(cons(from(from(from(y0))), z1), z2)) -> c10(MARK(cons(from(from(from(y0))), z1)))
   MARK(cons(cons(from(from(length(y0))), z1), z2)) -> c10(MARK(cons(from(from(length(y0))), z1)))
   MARK(cons(cons(from(from(length1(y0))), z1), z2)) -> c10(MARK(cons(from(from(length1(y0))), z1)))
   MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(from(cons(y0, y1))), z1)))
   MARK(cons(cons(from(from(s(y0))), z1), z2)) -> c10(MARK(cons(from(from(s(y0))), z1)))
   MARK(cons(cons(from(from(nil)), z1), z2)) -> c10(MARK(cons(from(from(nil)), z1)))
   MARK(cons(cons(from(from(0)), z1), z2)) -> c10(MARK(cons(from(from(0)), z1)))
   MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)) -> c10(MARK(cons(from(length(cons(y0, y1))), z1)))
   MARK(cons(cons(from(length(y0)), z1), z2)) -> c10(MARK(cons(from(length(y0)), z1)))
   MARK(cons(cons(from(length1(y0)), z1), z2)) -> c10(MARK(cons(from(length1(y0)), z1)))
   MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)) -> c10(MARK(cons(length(cons(y0, cons(y1, y2))), z1)))
   MARK(cons(cons(length1(cons(y0, y1)), z1), z2)) -> c10(MARK(cons(length1(cons(y0, y1)), z1)))
   MARK(cons(s(s(y0)), z1)) -> c10(MARK(s(s(y0))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c10(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c10(MARK(s(from(s(y0)))))
   MARK(cons(s(from(from(y0))), z1)) -> c10(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c10(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(length(y0)))), z1)) -> c10(MARK(s(from(from(length(y0))))))
   MARK(cons(s(from(from(length1(y0)))), z1)) -> c10(MARK(s(from(from(length1(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c10(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c10(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(nil))), z1)) -> c10(MARK(s(from(from(nil)))))
   MARK(cons(s(from(from(0))), z1)) -> c10(MARK(s(from(from(0)))))
   MARK(cons(s(from(length(cons(y0, y1)))), z1)) -> c10(MARK(s(from(length(cons(y0, y1))))))
   MARK(cons(s(from(length(y0))), z1)) -> c10(MARK(s(from(length(y0)))))
   MARK(cons(s(from(length1(y0))), z1)) -> c10(MARK(s(from(length1(y0)))))
   MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(cons(s(length1(cons(y0, y1))), z1)) -> c10(MARK(s(length1(cons(y0, y1)))))
   MARK(cons(s(cons(cons(y0, y1), y2)), z1)) -> c10(MARK(s(cons(cons(y0, y1), y2))))
   MARK(cons(s(cons(s(y0), y1)), z1)) -> c10(MARK(s(cons(s(y0), y1))))
   MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(cons(s(cons(from(s(y0)), y1)), z1)) -> c10(MARK(s(cons(from(s(y0)), y1))))
   MARK(cons(s(cons(from(from(y0)), y1)), z1)) -> c10(MARK(s(cons(from(from(y0)), y1))))
   MARK(cons(s(cons(from(from(from(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(cons(s(cons(from(from(length(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(from(s(y0))), y1)), z1)) -> c10(MARK(s(cons(from(from(s(y0))), y1))))
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   MARK(cons(s(cons(from(from(0)), y0)), z1)) -> c10(MARK(s(cons(from(from(0)), y0))))
   MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)) -> c10(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(cons(s(cons(from(length(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length(y0)), y1))))
   MARK(cons(s(cons(from(length1(y0)), y1)), z1)) -> c10(MARK(s(cons(from(length1(y0)), y1))))
   MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)) -> c10(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)) -> c10(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(cons(from(cons(from(y0), z1)), z2)) -> c10(MARK(from(cons(from(y0), z1))))
   MARK(cons(from(cons(length(y0), z1)), z2)) -> c10(MARK(from(cons(length(y0), z1))))
   MARK(cons(from(cons(length1(y0), z1)), z2)) -> c10(MARK(from(cons(length1(y0), z1))))
   MARK(cons(from(cons(cons(y0, y1), z1)), z2)) -> c10(MARK(from(cons(cons(y0, y1), z1))))
   MARK(cons(from(cons(s(y0), z1)), z2)) -> c10(MARK(from(cons(s(y0), z1))))
   MARK(cons(from(s(from(y0))), z1)) -> c10(MARK(from(s(from(y0)))))
   MARK(cons(from(s(length(y0))), z1)) -> c10(MARK(from(s(length(y0)))))
   MARK(cons(from(s(length1(y0))), z1)) -> c10(MARK(from(s(length1(y0)))))
   MARK(cons(from(s(cons(y0, y1))), z1)) -> c10(MARK(from(s(cons(y0, y1)))))
   MARK(cons(from(s(s(y0))), z1)) -> c10(MARK(from(s(s(y0)))))
   MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)) -> c10(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)) -> c10(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(cons(length1(cons(z0, cons(y1, y2))), z2)) -> c10(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(s(s(y0)))) -> c11(MARK(s(s(y0))))
   MARK(s(s(from(cons(y0, y1))))) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(s(s(from(s(y0))))) -> c11(MARK(s(from(s(y0)))))
   MARK(s(s(from(from(y0))))) -> c11(MARK(s(from(from(y0)))))
   MARK(s(s(from(from(from(y0)))))) -> c11(MARK(s(from(from(from(y0))))))
   MARK(s(s(from(from(length(y0)))))) -> c11(MARK(s(from(from(length(y0))))))
   MARK(s(s(from(from(length1(y0)))))) -> c11(MARK(s(from(from(length1(y0))))))
   MARK(s(s(from(from(cons(y0, y1)))))) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(s(s(from(from(s(y0)))))) -> c11(MARK(s(from(from(s(y0))))))
   MARK(s(s(from(from(nil))))) -> c11(MARK(s(from(from(nil)))))
   MARK(s(s(from(from(0))))) -> c11(MARK(s(from(from(0)))))
   MARK(s(s(from(length(cons(y0, y1)))))) -> c11(MARK(s(from(length(cons(y0, y1))))))
   MARK(s(s(from(length(y0))))) -> c11(MARK(s(from(length(y0)))))
   MARK(s(s(from(length1(y0))))) -> c11(MARK(s(from(length1(y0)))))
   MARK(s(s(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(s(length(cons(y0, cons(y1, y2))))))
   MARK(s(s(length1(cons(y0, y1))))) -> c11(MARK(s(length1(cons(y0, y1)))))
   MARK(s(s(cons(cons(y0, y1), y2)))) -> c11(MARK(s(cons(cons(y0, y1), y2))))
   MARK(s(s(cons(s(y0), y1)))) -> c11(MARK(s(cons(s(y0), y1))))
   MARK(s(s(cons(from(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(from(cons(y0, y1)), y2))))
   MARK(s(s(cons(from(s(y0)), y1)))) -> c11(MARK(s(cons(from(s(y0)), y1))))
   MARK(s(s(cons(from(from(y0)), y1)))) -> c11(MARK(s(cons(from(from(y0)), y1))))
   MARK(s(s(cons(from(from(from(y0))), y1)))) -> c11(MARK(s(cons(from(from(from(y0))), y1))))
   MARK(s(s(cons(from(from(length(y0))), y1)))) -> c11(MARK(s(cons(from(from(length(y0))), y1))))
   MARK(s(s(cons(from(from(length1(y0))), y1)))) -> c11(MARK(s(cons(from(from(length1(y0))), y1))))
   MARK(s(s(cons(from(from(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(from(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(from(s(y0))), y1)))) -> c11(MARK(s(cons(from(from(s(y0))), y1))))
   MARK(s(s(cons(from(from(nil)), y0)))) -> c11(MARK(s(cons(from(from(nil)), y0))))
   MARK(s(s(cons(from(from(0)), y0)))) -> c11(MARK(s(cons(from(from(0)), y0))))
   MARK(s(s(cons(from(length(cons(y0, y1))), y2)))) -> c11(MARK(s(cons(from(length(cons(y0, y1))), y2))))
   MARK(s(s(cons(from(length(y0)), y1)))) -> c11(MARK(s(cons(from(length(y0)), y1))))
   MARK(s(s(cons(from(length1(y0)), y1)))) -> c11(MARK(s(cons(from(length1(y0)), y1))))
   MARK(s(s(cons(length(cons(y0, cons(y1, y2))), y3)))) -> c11(MARK(s(cons(length(cons(y0, cons(y1, y2))), y3))))
   MARK(s(s(cons(length1(cons(y0, y1)), y2)))) -> c11(MARK(s(cons(length1(cons(y0, y1)), y2))))
   MARK(s(from(cons(from(y0), z1)))) -> c11(MARK(from(cons(from(y0), z1))))
   MARK(s(from(cons(length(y0), z1)))) -> c11(MARK(from(cons(length(y0), z1))))
   MARK(s(from(cons(length1(y0), z1)))) -> c11(MARK(from(cons(length1(y0), z1))))
   MARK(s(from(cons(cons(y0, y1), z1)))) -> c11(MARK(from(cons(cons(y0, y1), z1))))
   MARK(s(from(cons(s(y0), z1)))) -> c11(MARK(from(cons(s(y0), z1))))
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   MARK(s(from(s(length(y0))))) -> c11(MARK(from(s(length(y0)))))
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   MARK(s(from(s(s(y0))))) -> c11(MARK(from(s(s(y0)))))
   MARK(s(from(length(cons(y0, cons(y1, y2)))))) -> c11(MARK(from(length(cons(y0, cons(y1, y2))))))
   MARK(s(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c11(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(s(length1(cons(z0, cons(y1, y2))))) -> c11(MARK(length1(cons(z0, cons(y1, y2)))))
   MARK(s(cons(cons(cons(y0, y1), z1), z2))) -> c11(MARK(cons(cons(cons(y0, y1), z1), z2)))
   MARK(s(cons(cons(s(y0), z1), z2))) -> c11(MARK(cons(cons(s(y0), z1), z2)))
   MARK(s(cons(cons(from(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(from(cons(y0, y1)), z1), z2)))
   MARK(s(cons(cons(from(s(y0)), z1), z2))) -> c11(MARK(cons(cons(from(s(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(y0)), z1), z2))) -> c11(MARK(cons(cons(from(from(y0)), z1), z2)))
   MARK(s(cons(cons(from(from(from(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(from(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(length1(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(length1(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
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   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
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   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
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   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
   MARK(s(cons(from(s(length(y0))), z1))) -> c11(MARK(cons(from(s(length(y0))), z1)))
   MARK(s(cons(from(s(length1(y0))), z1))) -> c11(MARK(cons(from(s(length1(y0))), z1)))
   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))
   MARK(s(cons(from(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3))) -> c11(MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)))
   MARK(s(cons(length1(cons(z0, cons(y1, y2))), z2))) -> c11(MARK(cons(length1(cons(z0, cons(y1, y2))), z2)))
   MARK(from(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c1(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(from(length1(cons(z0, cons(y1, y2))))) -> c2(MARK(length1(cons(z0, cons(y1, y2)))))
S tuples:
   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(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(length(z0)))) -> c7(A__FROM(a__from(a__length(z0))), MARK(from(length(z0))))
   MARK(from(from(length1(z0)))) -> c7(A__FROM(a__from(a__length1(z0))), MARK(from(length1(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(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(length(cons(z0, z1)))) -> c7(A__FROM(s(a__length1(z1))), MARK(length(cons(z0, z1))))
   MARK(from(length1(z0))) -> c7(A__FROM(a__length(z0)), MARK(length1(z0)))
   MARK(cons(from(from(y0)), z1)) -> c10(MARK(from(from(y0))))
   MARK(cons(from(from(from(y0))), z1)) -> c10(MARK(from(from(from(y0)))))
   MARK(cons(from(from(length(y0))), z1)) -> c10(MARK(from(from(length(y0)))))
   MARK(cons(from(from(length1(y0))), z1)) -> c10(MARK(from(from(length1(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(s(y0))), z1)) -> c10(MARK(from(from(s(y0)))))
   MARK(cons(from(from(nil)), z1)) -> c10(MARK(from(from(nil))))
   MARK(cons(from(from(0)), z1)) -> c10(MARK(from(from(0))))
   MARK(cons(from(length(cons(y0, y1))), z1)) -> c10(MARK(from(length(cons(y0, y1)))))
   MARK(cons(from(length1(y0)), z1)) -> c10(MARK(from(length1(y0))))
   MARK(s(from(from(y0)))) -> c11(MARK(from(from(y0))))
   MARK(s(from(from(from(y0))))) -> c11(MARK(from(from(from(y0)))))
   MARK(s(from(from(length(y0))))) -> c11(MARK(from(from(length(y0)))))
   MARK(s(from(from(length1(y0))))) -> c11(MARK(from(from(length1(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(s(y0))))) -> c11(MARK(from(from(s(y0)))))
   MARK(s(from(from(nil)))) -> c11(MARK(from(from(nil))))
   MARK(s(from(from(0)))) -> c11(MARK(from(from(0))))
   MARK(s(from(length(cons(y0, y1))))) -> c11(MARK(from(length(cons(y0, y1)))))
   MARK(s(from(length1(y0)))) -> c11(MARK(from(length1(y0))))
   MARK(s(cons(from(from(y0)), y1))) -> c11(MARK(cons(from(from(y0)), y1)))
   MARK(s(cons(from(from(from(y0))), y1))) -> c11(MARK(cons(from(from(from(y0))), y1)))
   MARK(s(cons(from(from(length(y0))), y1))) -> c11(MARK(cons(from(from(length(y0))), y1)))
   MARK(s(cons(from(from(length1(y0))), y1))) -> c11(MARK(cons(from(from(length1(y0))), y1)))
   MARK(s(cons(from(from(cons(y0, y1))), y2))) -> c11(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(s(cons(from(from(s(y0))), y1))) -> c11(MARK(cons(from(from(s(y0))), y1)))
   MARK(s(cons(from(from(nil)), y0))) -> c11(MARK(cons(from(from(nil)), y0)))
   MARK(s(cons(from(from(0)), y0))) -> c11(MARK(cons(from(from(0)), y0)))
   MARK(s(cons(from(length(cons(y0, y1))), y2))) -> c11(MARK(cons(from(length(cons(y0, y1))), y2)))
   MARK(s(cons(from(length1(y0)), y1))) -> c11(MARK(cons(from(length1(y0)), y1)))
   A__FROM(from(cons(y0, y1))) -> c(MARK(from(cons(y0, y1))))
   A__FROM(from(s(y0))) -> c(MARK(from(s(y0))))
   A__FROM(from(from(y0))) -> c(MARK(from(from(y0))))
   A__FROM(from(from(from(y0)))) -> c(MARK(from(from(from(y0)))))
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   MARK(s(cons(cons(from(from(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(from(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(from(s(y0))), z1), z2))) -> c11(MARK(cons(cons(from(from(s(y0))), z1), z2)))
   MARK(s(cons(cons(from(from(nil)), z1), z2))) -> c11(MARK(cons(cons(from(from(nil)), z1), z2)))
   MARK(s(cons(cons(from(from(0)), z1), z2))) -> c11(MARK(cons(cons(from(from(0)), z1), z2)))
   MARK(s(cons(cons(from(length(cons(y0, y1))), z1), z2))) -> c11(MARK(cons(cons(from(length(cons(y0, y1))), z1), z2)))
   MARK(s(cons(cons(from(length(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length(y0)), z1), z2)))
   MARK(s(cons(cons(from(length1(y0)), z1), z2))) -> c11(MARK(cons(cons(from(length1(y0)), z1), z2)))
   MARK(s(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2))) -> c11(MARK(cons(cons(length(cons(y0, cons(y1, y2))), z1), z2)))
   MARK(s(cons(cons(length1(cons(y0, y1)), z1), z2))) -> c11(MARK(cons(cons(length1(cons(y0, y1)), z1), z2)))
   MARK(s(cons(s(s(y0)), z1))) -> c11(MARK(cons(s(s(y0)), z1)))
   MARK(s(cons(s(from(cons(y0, y1))), z1))) -> c11(MARK(cons(s(from(cons(y0, y1))), z1)))
   MARK(s(cons(s(from(s(y0))), z1))) -> c11(MARK(cons(s(from(s(y0))), z1)))
   MARK(s(cons(s(from(from(y0))), z1))) -> c11(MARK(cons(s(from(from(y0))), z1)))
   MARK(s(cons(s(from(from(from(y0)))), z1))) -> c11(MARK(cons(s(from(from(from(y0)))), z1)))
   MARK(s(cons(s(from(from(length(y0)))), z1))) -> c11(MARK(cons(s(from(from(length(y0)))), z1)))
   MARK(s(cons(s(from(from(length1(y0)))), z1))) -> c11(MARK(cons(s(from(from(length1(y0)))), z1)))
   MARK(s(cons(s(from(from(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(from(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(from(s(y0)))), z1))) -> c11(MARK(cons(s(from(from(s(y0)))), z1)))
   MARK(s(cons(s(from(from(nil))), z1))) -> c11(MARK(cons(s(from(from(nil))), z1)))
   MARK(s(cons(s(from(from(0))), z1))) -> c11(MARK(cons(s(from(from(0))), z1)))
   MARK(s(cons(s(from(length(cons(y0, y1)))), z1))) -> c11(MARK(cons(s(from(length(cons(y0, y1)))), z1)))
   MARK(s(cons(s(from(length(y0))), z1))) -> c11(MARK(cons(s(from(length(y0))), z1)))
   MARK(s(cons(s(from(length1(y0))), z1))) -> c11(MARK(cons(s(from(length1(y0))), z1)))
   MARK(s(cons(s(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(s(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(s(length1(cons(y0, y1))), z1))) -> c11(MARK(cons(s(length1(cons(y0, y1))), z1)))
   MARK(s(cons(s(cons(cons(y0, y1), y2)), z1))) -> c11(MARK(cons(s(cons(cons(y0, y1), y2)), z1)))
   MARK(s(cons(s(cons(s(y0), y1)), z1))) -> c11(MARK(cons(s(cons(s(y0), y1)), z1)))
   MARK(s(cons(s(cons(from(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(from(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(s(cons(from(s(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(s(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(from(from(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(from(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(length1(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(length1(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(from(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(from(s(y0))), y1)), z1))) -> c11(MARK(cons(s(cons(from(from(s(y0))), y1)), z1)))
   MARK(s(cons(s(cons(from(from(nil)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(nil)), y0)), z1)))
   MARK(s(cons(s(cons(from(from(0)), y0)), z1))) -> c11(MARK(cons(s(cons(from(from(0)), y0)), z1)))
   MARK(s(cons(s(cons(from(length(cons(y0, y1))), y2)), z1))) -> c11(MARK(cons(s(cons(from(length(cons(y0, y1))), y2)), z1)))
   MARK(s(cons(s(cons(from(length(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length(y0)), y1)), z1)))
   MARK(s(cons(s(cons(from(length1(y0)), y1)), z1))) -> c11(MARK(cons(s(cons(from(length1(y0)), y1)), z1)))
   MARK(s(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1))) -> c11(MARK(cons(s(cons(length(cons(y0, cons(y1, y2))), y3)), z1)))
   MARK(s(cons(s(cons(length1(cons(y0, y1)), y2)), z1))) -> c11(MARK(cons(s(cons(length1(cons(y0, y1)), y2)), z1)))
   MARK(s(cons(from(cons(from(y0), z1)), z2))) -> c11(MARK(cons(from(cons(from(y0), z1)), z2)))
   MARK(s(cons(from(cons(length(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length(y0), z1)), z2)))
   MARK(s(cons(from(cons(length1(y0), z1)), z2))) -> c11(MARK(cons(from(cons(length1(y0), z1)), z2)))
   MARK(s(cons(from(cons(cons(y0, y1), z1)), z2))) -> c11(MARK(cons(from(cons(cons(y0, y1), z1)), z2)))
   MARK(s(cons(from(cons(s(y0), z1)), z2))) -> c11(MARK(cons(from(cons(s(y0), z1)), z2)))
   MARK(s(cons(from(s(from(y0))), z1))) -> c11(MARK(cons(from(s(from(y0))), z1)))
   MARK(s(cons(from(s(length(y0))), z1))) -> c11(MARK(cons(from(s(length(y0))), z1)))
   MARK(s(cons(from(s(length1(y0))), z1))) -> c11(MARK(cons(from(s(length1(y0))), z1)))
   MARK(s(cons(from(s(cons(y0, y1))), z1))) -> c11(MARK(cons(from(s(cons(y0, y1))), z1)))
   MARK(s(cons(from(s(s(y0))), z1))) -> c11(MARK(cons(from(s(s(y0))), z1)))
   MARK(s(cons(from(length(cons(y0, cons(y1, y2)))), z1))) -> c11(MARK(cons(from(length(cons(y0, cons(y1, y2)))), z1)))
   MARK(s(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3))) -> c11(MARK(cons(length(cons(z0, cons(z1, cons(y2, y3)))), z3)))
   MARK(s(cons(length1(cons(z0, cons(y1, y2))), z2))) -> c11(MARK(cons(length1(cons(z0, cons(y1, y2))), z2)))
   MARK(from(length(cons(z0, cons(z1, cons(y2, y3)))))) -> c1(MARK(length(cons(z0, cons(z1, cons(y2, y3))))))
   MARK(from(length1(cons(z0, cons(y1, y2))))) -> c2(MARK(length1(cons(z0, cons(y1, y2)))))
K tuples:none
Defined Rule Symbols:   a__from_1, a__length_1, a__length1_1, mark_1

Defined Pair Symbols:   MARK_1, A__FROM_1, A__LENGTH1_1, A__LENGTH_1

Compound Symbols:   c7_2, c7_1, c10_1, c11_1, c_1, c1_1, c2_1, c5_1, c3_1, c8_1, c9_1


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

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

(160)
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__from(X) -> cons(mark(X), from(s(X))) [1]
   a__length(nil) -> 0 [1]
   a__length(cons(X, Y)) -> s(a__length1(Y)) [1]
   a__length1(X) -> a__length(X) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(length(X)) -> a__length(X) [1]
   mark(length1(X)) -> a__length1(X) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(nil) -> nil [1]
   mark(0) -> 0 [1]
   a__from(X) -> from(X) [1]
   a__length(X) -> length(X) [1]
   a__length1(X) -> length1(X) [1]

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

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

(162)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   a__from(X) -> cons(mark(X), from(s(X))) [1]
   a__length(nil) -> 0 [1]
   a__length(cons(X, Y)) -> s(a__length1(Y)) [1]
   a__length1(X) -> a__length(X) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(length(X)) -> a__length(X) [1]
   mark(length1(X)) -> a__length1(X) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(nil) -> nil [1]
   mark(0) -> 0 [1]
   a__from(X) -> from(X) [1]
   a__length(X) -> length(X) [1]
   a__length1(X) -> length1(X) [1]

The TRS has the following type information:
a__from :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
cons :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
mark :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
from :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
s :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
a__length :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
nil :: s:from:cons:nil:0:length:length1
0 :: s:from:cons:nil:0:length:length1
a__length1 :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
length :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
length1 :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1

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

(163) 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__length1_1
   a__length_1
   a__from_1

Due to the following rules being added:
none

And the following fresh constants: none

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

(164)
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__from(X) -> cons(mark(X), from(s(X))) [1]
   a__length(nil) -> 0 [1]
   a__length(cons(X, Y)) -> s(a__length1(Y)) [1]
   a__length1(X) -> a__length(X) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(length(X)) -> a__length(X) [1]
   mark(length1(X)) -> a__length1(X) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(nil) -> nil [1]
   mark(0) -> 0 [1]
   a__from(X) -> from(X) [1]
   a__length(X) -> length(X) [1]
   a__length1(X) -> length1(X) [1]

The TRS has the following type information:
a__from :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
cons :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
mark :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
from :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
s :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
a__length :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
nil :: s:from:cons:nil:0:length:length1
0 :: s:from:cons:nil:0:length:length1
a__length1 :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
length :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
length1 :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1

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

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

(166)
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__from(X) -> cons(mark(X), from(s(X))) [1]
   a__length(nil) -> 0 [1]
   a__length(cons(X, Y)) -> s(a__length1(Y)) [1]
   a__length1(X) -> a__length(X) [1]
   mark(from(from(X'))) -> a__from(a__from(mark(X'))) [2]
   mark(from(length(X''))) -> a__from(a__length(X'')) [2]
   mark(from(length1(X3))) -> a__from(a__length1(X3)) [2]
   mark(from(cons(X1', X2'))) -> a__from(cons(mark(X1'), X2')) [2]
   mark(from(s(X4))) -> a__from(s(mark(X4))) [2]
   mark(from(nil)) -> a__from(nil) [2]
   mark(from(0)) -> a__from(0) [2]
   mark(length(X)) -> a__length(X) [1]
   mark(length1(X)) -> a__length1(X) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(nil) -> nil [1]
   mark(0) -> 0 [1]
   a__from(X) -> from(X) [1]
   a__length(X) -> length(X) [1]
   a__length1(X) -> length1(X) [1]

The TRS has the following type information:
a__from :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
cons :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
mark :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
from :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
s :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
a__length :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
nil :: s:from:cons:nil:0:length:length1
0 :: s:from:cons:nil:0:length:length1
a__length1 :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
length :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
length1 :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1

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

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

   nil => 1
   0 => 0

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

(168)
Obligation:
Complexity RNTS consisting of the following rules:

   a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X
   a__from(z) -{ 1 }-> 1 + mark(X) + (1 + (1 + X)) :|: X >= 0, z = X
   a__length(z) -{ 1 }-> 0 :|: z = 1
   a__length(z) -{ 1 }-> 1 + X :|: X >= 0, z = X
   a__length(z) -{ 1 }-> 1 + a__length1(Y) :|: Y >= 0, z = 1 + X + Y, X >= 0
   a__length1(z) -{ 1 }-> a__length(X) :|: X >= 0, z = X
   a__length1(z) -{ 1 }-> 1 + X :|: X >= 0, z = X
   mark(z) -{ 1 }-> a__length1(X) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> a__length(X) :|: z = 1 + X, X >= 0
   mark(z) -{ 2 }-> a__from(a__length1(X3)) :|: z = 1 + (1 + X3), X3 >= 0
   mark(z) -{ 2 }-> a__from(a__length(X'')) :|: z = 1 + (1 + X''), X'' >= 0
   mark(z) -{ 2 }-> a__from(a__from(mark(X'))) :|: X' >= 0, z = 1 + (1 + X')
   mark(z) -{ 2 }-> a__from(1) :|: z = 1 + 1
   mark(z) -{ 2 }-> a__from(0) :|: z = 1 + 0
   mark(z) -{ 2 }-> a__from(1 + mark(X4)) :|: z = 1 + (1 + X4), X4 >= 0
   mark(z) -{ 2 }-> a__from(1 + mark(X1') + X2') :|: z = 1 + (1 + X1' + X2'), X2' >= 0, X1' >= 0
   mark(z) -{ 1 }-> 1 :|: z = 1
   mark(z) -{ 1 }-> 0 :|: z = 0
   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


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

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

(170)
Obligation:
Complexity RNTS consisting of the following rules:

   a__from(z) -{ 1 }-> 1 + z :|: z >= 0
   a__from(z) -{ 1 }-> 1 + mark(z) + (1 + (1 + z)) :|: z >= 0
   a__length(z) -{ 1 }-> 0 :|: z = 1
   a__length(z) -{ 1 }-> 1 + z :|: z >= 0
   a__length(z) -{ 1 }-> 1 + a__length1(Y) :|: Y >= 0, z = 1 + X + Y, X >= 0
   a__length1(z) -{ 1 }-> a__length(z) :|: z >= 0
   a__length1(z) -{ 1 }-> 1 + z :|: z >= 0
   mark(z) -{ 1 }-> a__length1(z - 1) :|: z - 1 >= 0
   mark(z) -{ 1 }-> a__length(z - 1) :|: z - 1 >= 0
   mark(z) -{ 2 }-> a__from(a__length1(z - 2)) :|: z - 2 >= 0
   mark(z) -{ 2 }-> a__from(a__length(z - 2)) :|: z - 2 >= 0
   mark(z) -{ 2 }-> a__from(a__from(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> a__from(1) :|: z = 1 + 1
   mark(z) -{ 2 }-> 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(X1') + X2') :|: z = 1 + (1 + X1' + X2'), X2' >= 0, X1' >= 0
   mark(z) -{ 1 }-> 1 :|: z = 1
   mark(z) -{ 1 }-> 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


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

(171) 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:
none

And the following fresh constants: none

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

(172)
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__from(X) -> cons(mark(X), from(s(X))) [1]
   a__length(nil) -> 0 [1]
   a__length(cons(X, Y)) -> s(a__length1(Y)) [1]
   a__length1(X) -> a__length(X) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(length(X)) -> a__length(X) [1]
   mark(length1(X)) -> a__length1(X) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(nil) -> nil [1]
   mark(0) -> 0 [1]
   a__from(X) -> from(X) [1]
   a__length(X) -> length(X) [1]
   a__length1(X) -> length1(X) [1]

The TRS has the following type information:
a__from :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
cons :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
mark :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
from :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
s :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
a__length :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
nil :: s:from:cons:nil:0:length:length1
0 :: s:from:cons:nil:0:length:length1
a__length1 :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
length :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1
length1 :: s:from:cons:nil:0:length:length1 -> s:from:cons:nil:0:length:length1

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

   nil => 1
   0 => 0

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(174)
Obligation:
Complexity RNTS consisting of the following rules:

   a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X
   a__from(z) -{ 1 }-> 1 + mark(X) + (1 + (1 + X)) :|: X >= 0, z = X
   a__length(z) -{ 1 }-> 0 :|: z = 1
   a__length(z) -{ 1 }-> 1 + X :|: X >= 0, z = X
   a__length(z) -{ 1 }-> 1 + a__length1(Y) :|: Y >= 0, z = 1 + X + Y, X >= 0
   a__length1(z) -{ 1 }-> a__length(X) :|: X >= 0, z = X
   a__length1(z) -{ 1 }-> 1 + X :|: X >= 0, z = X
   mark(z) -{ 1 }-> a__length1(X) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> a__length(X) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> a__from(mark(X)) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> 1 :|: z = 1
   mark(z) -{ 1 }-> 0 :|: z = 0
   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

Only complete derivations are relevant for the runtime complexity.