KILLED
proof of input_rr7nf2a6OX.trs
# AProVE Commit ID: 5b976082cb74a395683ed8cc7acf94bd611ab29f fuhs 20230524 unpublished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), 0 ms]
    (14) typed CpxTrs
    (15) RewriteLemmaProof [LOWER BOUND(ID), 7787 ms]
    (16) typed CpxTrs
    (17) RewriteLemmaProof [LOWER BOUND(ID), 3140 ms]
    (18) BEST
        (19) proven lower bound
            (20) LowerBoundPropagationProof [FINISHED, 0 ms]
            (21) BOUNDS(n^1, INF)
        (22) typed CpxTrs
(23) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms]
(24) CpxWeightedTrs
    (25) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (26) CpxTypedWeightedTrs
    (27) CompletionProof [UPPER BOUND(ID), 0 ms]
    (28) CpxTypedWeightedCompleteTrs
        (29) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (30) CpxTypedWeightedCompleteTrs
        (31) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (32) CpxRNTS
        (33) SimplificationProof [BOTH BOUNDS(ID, ID), 3 ms]
        (34) CpxRNTS
    (35) CompletionProof [UPPER BOUND(ID), 0 ms]
    (36) CpxTypedWeightedCompleteTrs
        (37) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (38) CpxRNTS
(39) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(40) CdtProblem
    (41) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (42) CdtProblem
    (43) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (44) CpxRelTRS
        (45) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
        (46) CpxTRS
        (47) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (48) CpxWeightedTrs
            (49) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
            (50) CpxTypedWeightedTrs
            (51) CompletionProof [UPPER BOUND(ID), 0 ms]
            (52) CpxTypedWeightedCompleteTrs
                (53) NarrowingProof [BOTH BOUNDS(ID, ID), 24 ms]
                (54) CpxTypedWeightedCompleteTrs
                (55) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
                (56) CpxRNTS
                (57) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
                (58) CpxRNTS
            (59) CompletionProof [UPPER BOUND(ID), 0 ms]
            (60) CpxTypedWeightedCompleteTrs
                (61) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
                (62) CpxRNTS
    (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (64) CdtProblem
        (65) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (66) CdtProblem
        (67) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (68) CdtProblem
        (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (70) CdtProblem
        (71) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (72) CdtProblem
        (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (74) CdtProblem
        (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 27 ms]
        (76) CdtProblem
        (77) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (78) CdtProblem
        (79) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (80) CdtProblem
        (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (82) CdtProblem
        (83) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (84) CdtProblem
        (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (86) CdtProblem
        (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (88) CdtProblem
        (89) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (90) CdtProblem
        (91) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (92) CdtProblem
        (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (94) CdtProblem
        (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 2 ms]
        (96) CdtProblem
        (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (98) CdtProblem
        (99) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (100) CdtProblem
        (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (102) CdtProblem
        (103) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (104) CdtProblem
        (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 23 ms]
        (106) CdtProblem
        (107) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (108) CdtProblem
        (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (110) CdtProblem
        (111) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 7 ms]
        (112) CdtProblem
        (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 29 ms]
        (114) CdtProblem
        (115) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (116) CdtProblem
        (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 11 ms]
        (118) CdtProblem
        (119) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (120) CdtProblem
        (121) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 4 ms]
        (122) CdtProblem
        (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (124) CdtProblem
        (125) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 1 ms]
        (126) CdtProblem
        (127) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (128) CdtProblem
        (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (130) CdtProblem
        (131) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 1 ms]
        (132) CdtProblem
        (133) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (134) CdtProblem
        (135) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 407 ms]
        (136) CdtProblem
        (137) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (138) CdtProblem
        (139) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 141 ms]
        (140) CdtProblem
        (141) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (142) CdtProblem
        (143) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 19 ms]
        (144) CdtProblem
        (145) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 17 ms]
        (146) CdtProblem
        (147) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 15.6 s]
        (148) CdtProblem
        (149) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 16.2 s]
        (150) CdtProblem
        (151) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (152) CdtProblem
        (153) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 284 ms]
        (154) CdtProblem
        (155) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (156) CdtProblem
        (157) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 943 ms]
        (158) CdtProblem
        (159) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 52 ms]
        (160) CdtProblem
        (161) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 3861 ms]
        (162) CdtProblem


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

(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__first(0, X) -> nil
   a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z))
   a__from(X) -> cons(mark(X), from(s(X)))
   mark(first(X1, X2)) -> a__first(mark(X1), mark(X2))
   mark(from(X)) -> a__from(mark(X))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(X)) -> s(mark(X))
   mark(cons(X1, X2)) -> cons(mark(X1), X2)
   a__first(X1, X2) -> first(X1, X2)
   a__from(X) -> from(X)

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

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

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


The TRS R consists of the following rules:

   a__first(0', X) -> nil
   a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z))
   a__from(X) -> cons(mark(X), from(s(X)))
   mark(first(X1, X2)) -> a__first(mark(X1), mark(X2))
   mark(from(X)) -> a__from(mark(X))
   mark(0') -> 0'
   mark(nil) -> nil
   mark(s(X)) -> s(mark(X))
   mark(cons(X1, X2)) -> cons(mark(X1), X2)
   a__first(X1, X2) -> first(X1, X2)
   a__from(X) -> from(X)

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

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

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


The TRS R consists of the following rules:

   a__first(0, X) -> nil
   a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z))
   a__from(X) -> cons(mark(X), from(s(X)))
   mark(first(X1, X2)) -> a__first(mark(X1), mark(X2))
   mark(from(X)) -> a__from(mark(X))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(X)) -> s(mark(X))
   mark(cons(X1, X2)) -> cons(mark(X1), X2)
   a__first(X1, X2) -> first(X1, X2)
   a__from(X) -> from(X)

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

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

(6)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(0, z0) -> c
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FIRST(z0, z1) -> c2
   A__FROM(z0) -> c3(MARK(z0))
   A__FROM(z0) -> c4
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(0) -> c8
   MARK(nil) -> c9
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
S tuples:
   A__FIRST(0, z0) -> c
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FIRST(z0, z1) -> c2
   A__FROM(z0) -> c3(MARK(z0))
   A__FROM(z0) -> c4
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(0) -> c8
   MARK(nil) -> c9
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c, c1_1, c2, c3_1, c4, c5_2, c6_2, c7_2, c8, c9, c10_1, c11_1


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

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

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


The TRS R consists of the following rules:

   A__FIRST(0, z0) -> c
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FIRST(z0, z1) -> c2
   A__FROM(z0) -> c3(MARK(z0))
   A__FROM(z0) -> c4
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(0) -> c8
   MARK(nil) -> c9
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))

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

   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)

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__FIRST(0', z0) -> c
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FIRST(z0, z1) -> c2
   A__FROM(z0) -> c3(MARK(z0))
   A__FROM(z0) -> c4
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(0') -> c8
   MARK(nil) -> c9
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))

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

   a__first(0', z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0') -> 0'
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)

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

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

(12)
Obligation:
Innermost TRS:
Rules:
A__FIRST(0', z0) -> c
A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
A__FIRST(z0, z1) -> c2
A__FROM(z0) -> c3(MARK(z0))
A__FROM(z0) -> c4
MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(0') -> c8
MARK(nil) -> c9
MARK(s(z0)) -> c10(MARK(z0))
MARK(cons(z0, z1)) -> c11(MARK(z0))
a__first(0', z0) -> nil
a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
a__first(z0, z1) -> first(z0, z1)
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
mark(from(z0)) -> a__from(mark(z0))
mark(0') -> 0'
mark(nil) -> nil
mark(s(z0)) -> s(mark(z0))
mark(cons(z0, z1)) -> cons(mark(z0), z1)

Types:
A__FIRST :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> c:c1:c2
0' :: 0':s:cons:first:from:nil
c :: c:c1:c2
s :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
cons :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c1 :: c5:c6:c7:c8:c9:c10:c11 -> c:c1:c2
MARK :: 0':s:cons:first:from:nil -> c5:c6:c7:c8:c9:c10:c11
c2 :: c:c1:c2
A__FROM :: 0':s:cons:first:from:nil -> c3:c4
c3 :: c5:c6:c7:c8:c9:c10:c11 -> c3:c4
c4 :: c3:c4
first :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c5 :: c:c1:c2 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
mark :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c6 :: c:c1:c2 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
from :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c7 :: c3:c4 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
c8 :: c5:c6:c7:c8:c9:c10:c11
nil :: 0':s:cons:first:from:nil
c9 :: c5:c6:c7:c8:c9:c10:c11
c10 :: c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
c11 :: c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
a__first :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
a__from :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
hole_c:c1:c21_12 :: c:c1:c2
hole_0':s:cons:first:from:nil2_12 :: 0':s:cons:first:from:nil
hole_c5:c6:c7:c8:c9:c10:c113_12 :: c5:c6:c7:c8:c9:c10:c11
hole_c3:c44_12 :: c3:c4
gen_0':s:cons:first:from:nil5_12 :: Nat -> 0':s:cons:first:from:nil
gen_c5:c6:c7:c8:c9:c10:c116_12 :: Nat -> c5:c6:c7:c8:c9:c10:c11

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

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

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

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

(14)
Obligation:
Innermost TRS:
Rules:
A__FIRST(0', z0) -> c
A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
A__FIRST(z0, z1) -> c2
A__FROM(z0) -> c3(MARK(z0))
A__FROM(z0) -> c4
MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(0') -> c8
MARK(nil) -> c9
MARK(s(z0)) -> c10(MARK(z0))
MARK(cons(z0, z1)) -> c11(MARK(z0))
a__first(0', z0) -> nil
a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
a__first(z0, z1) -> first(z0, z1)
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
mark(from(z0)) -> a__from(mark(z0))
mark(0') -> 0'
mark(nil) -> nil
mark(s(z0)) -> s(mark(z0))
mark(cons(z0, z1)) -> cons(mark(z0), z1)

Types:
A__FIRST :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> c:c1:c2
0' :: 0':s:cons:first:from:nil
c :: c:c1:c2
s :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
cons :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c1 :: c5:c6:c7:c8:c9:c10:c11 -> c:c1:c2
MARK :: 0':s:cons:first:from:nil -> c5:c6:c7:c8:c9:c10:c11
c2 :: c:c1:c2
A__FROM :: 0':s:cons:first:from:nil -> c3:c4
c3 :: c5:c6:c7:c8:c9:c10:c11 -> c3:c4
c4 :: c3:c4
first :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c5 :: c:c1:c2 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
mark :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c6 :: c:c1:c2 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
from :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c7 :: c3:c4 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
c8 :: c5:c6:c7:c8:c9:c10:c11
nil :: 0':s:cons:first:from:nil
c9 :: c5:c6:c7:c8:c9:c10:c11
c10 :: c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
c11 :: c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
a__first :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
a__from :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
hole_c:c1:c21_12 :: c:c1:c2
hole_0':s:cons:first:from:nil2_12 :: 0':s:cons:first:from:nil
hole_c5:c6:c7:c8:c9:c10:c113_12 :: c5:c6:c7:c8:c9:c10:c11
hole_c3:c44_12 :: c3:c4
gen_0':s:cons:first:from:nil5_12 :: Nat -> 0':s:cons:first:from:nil
gen_c5:c6:c7:c8:c9:c10:c116_12 :: Nat -> c5:c6:c7:c8:c9:c10:c11


Generator Equations:
gen_0':s:cons:first:from:nil5_12(0) <=> 0'
gen_0':s:cons:first:from:nil5_12(+(x, 1)) <=> s(gen_0':s:cons:first:from:nil5_12(x))
gen_c5:c6:c7:c8:c9:c10:c116_12(0) <=> c8
gen_c5:c6:c7:c8:c9:c10:c116_12(+(x, 1)) <=> c5(c, gen_c5:c6:c7:c8:c9:c10:c116_12(x))


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

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

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

(15) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
mark(gen_0':s:cons:first:from:nil5_12(n12763_12)) -> gen_0':s:cons:first:from:nil5_12(n12763_12), rt in Omega(0)

Induction Base:
mark(gen_0':s:cons:first:from:nil5_12(0)) ->_R^Omega(0)
0'

Induction Step:
mark(gen_0':s:cons:first:from:nil5_12(+(n12763_12, 1))) ->_R^Omega(0)
s(mark(gen_0':s:cons:first:from:nil5_12(n12763_12))) ->_IH
s(gen_0':s:cons:first:from:nil5_12(c12764_12))

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__FIRST(0', z0) -> c
A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
A__FIRST(z0, z1) -> c2
A__FROM(z0) -> c3(MARK(z0))
A__FROM(z0) -> c4
MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(0') -> c8
MARK(nil) -> c9
MARK(s(z0)) -> c10(MARK(z0))
MARK(cons(z0, z1)) -> c11(MARK(z0))
a__first(0', z0) -> nil
a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
a__first(z0, z1) -> first(z0, z1)
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
mark(from(z0)) -> a__from(mark(z0))
mark(0') -> 0'
mark(nil) -> nil
mark(s(z0)) -> s(mark(z0))
mark(cons(z0, z1)) -> cons(mark(z0), z1)

Types:
A__FIRST :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> c:c1:c2
0' :: 0':s:cons:first:from:nil
c :: c:c1:c2
s :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
cons :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c1 :: c5:c6:c7:c8:c9:c10:c11 -> c:c1:c2
MARK :: 0':s:cons:first:from:nil -> c5:c6:c7:c8:c9:c10:c11
c2 :: c:c1:c2
A__FROM :: 0':s:cons:first:from:nil -> c3:c4
c3 :: c5:c6:c7:c8:c9:c10:c11 -> c3:c4
c4 :: c3:c4
first :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c5 :: c:c1:c2 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
mark :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c6 :: c:c1:c2 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
from :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c7 :: c3:c4 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
c8 :: c5:c6:c7:c8:c9:c10:c11
nil :: 0':s:cons:first:from:nil
c9 :: c5:c6:c7:c8:c9:c10:c11
c10 :: c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
c11 :: c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
a__first :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
a__from :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
hole_c:c1:c21_12 :: c:c1:c2
hole_0':s:cons:first:from:nil2_12 :: 0':s:cons:first:from:nil
hole_c5:c6:c7:c8:c9:c10:c113_12 :: c5:c6:c7:c8:c9:c10:c11
hole_c3:c44_12 :: c3:c4
gen_0':s:cons:first:from:nil5_12 :: Nat -> 0':s:cons:first:from:nil
gen_c5:c6:c7:c8:c9:c10:c116_12 :: Nat -> c5:c6:c7:c8:c9:c10:c11


Lemmas:
mark(gen_0':s:cons:first:from:nil5_12(n12763_12)) -> gen_0':s:cons:first:from:nil5_12(n12763_12), rt in Omega(0)


Generator Equations:
gen_0':s:cons:first:from:nil5_12(0) <=> 0'
gen_0':s:cons:first:from:nil5_12(+(x, 1)) <=> s(gen_0':s:cons:first:from:nil5_12(x))
gen_c5:c6:c7:c8:c9:c10:c116_12(0) <=> c8
gen_c5:c6:c7:c8:c9:c10:c116_12(+(x, 1)) <=> c5(c, gen_c5:c6:c7:c8:c9:c10:c116_12(x))


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

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

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

(17) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
MARK(gen_0':s:cons:first:from:nil5_12(+(1, n31753_12))) -> *7_12, rt in Omega(n31753_12)

Induction Base:
MARK(gen_0':s:cons:first:from:nil5_12(+(1, 0)))

Induction Step:
MARK(gen_0':s:cons:first:from:nil5_12(+(1, +(n31753_12, 1)))) ->_R^Omega(1)
c10(MARK(gen_0':s:cons:first:from:nil5_12(+(1, n31753_12)))) ->_IH
c10(*7_12)

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__FIRST(0', z0) -> c
A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
A__FIRST(z0, z1) -> c2
A__FROM(z0) -> c3(MARK(z0))
A__FROM(z0) -> c4
MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(0') -> c8
MARK(nil) -> c9
MARK(s(z0)) -> c10(MARK(z0))
MARK(cons(z0, z1)) -> c11(MARK(z0))
a__first(0', z0) -> nil
a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
a__first(z0, z1) -> first(z0, z1)
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
mark(from(z0)) -> a__from(mark(z0))
mark(0') -> 0'
mark(nil) -> nil
mark(s(z0)) -> s(mark(z0))
mark(cons(z0, z1)) -> cons(mark(z0), z1)

Types:
A__FIRST :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> c:c1:c2
0' :: 0':s:cons:first:from:nil
c :: c:c1:c2
s :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
cons :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c1 :: c5:c6:c7:c8:c9:c10:c11 -> c:c1:c2
MARK :: 0':s:cons:first:from:nil -> c5:c6:c7:c8:c9:c10:c11
c2 :: c:c1:c2
A__FROM :: 0':s:cons:first:from:nil -> c3:c4
c3 :: c5:c6:c7:c8:c9:c10:c11 -> c3:c4
c4 :: c3:c4
first :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c5 :: c:c1:c2 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
mark :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c6 :: c:c1:c2 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
from :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c7 :: c3:c4 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
c8 :: c5:c6:c7:c8:c9:c10:c11
nil :: 0':s:cons:first:from:nil
c9 :: c5:c6:c7:c8:c9:c10:c11
c10 :: c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
c11 :: c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
a__first :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
a__from :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
hole_c:c1:c21_12 :: c:c1:c2
hole_0':s:cons:first:from:nil2_12 :: 0':s:cons:first:from:nil
hole_c5:c6:c7:c8:c9:c10:c113_12 :: c5:c6:c7:c8:c9:c10:c11
hole_c3:c44_12 :: c3:c4
gen_0':s:cons:first:from:nil5_12 :: Nat -> 0':s:cons:first:from:nil
gen_c5:c6:c7:c8:c9:c10:c116_12 :: Nat -> c5:c6:c7:c8:c9:c10:c11


Lemmas:
mark(gen_0':s:cons:first:from:nil5_12(n12763_12)) -> gen_0':s:cons:first:from:nil5_12(n12763_12), rt in Omega(0)


Generator Equations:
gen_0':s:cons:first:from:nil5_12(0) <=> 0'
gen_0':s:cons:first:from:nil5_12(+(x, 1)) <=> s(gen_0':s:cons:first:from:nil5_12(x))
gen_c5:c6:c7:c8:c9:c10:c116_12(0) <=> c8
gen_c5:c6:c7:c8:c9:c10:c116_12(+(x, 1)) <=> c5(c, gen_c5:c6:c7:c8:c9:c10:c116_12(x))


The following defined symbols remain to be analysed:
MARK

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

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

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

(21)
BOUNDS(n^1, INF)

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

(22)
Obligation:
Innermost TRS:
Rules:
A__FIRST(0', z0) -> c
A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
A__FIRST(z0, z1) -> c2
A__FROM(z0) -> c3(MARK(z0))
A__FROM(z0) -> c4
MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
MARK(0') -> c8
MARK(nil) -> c9
MARK(s(z0)) -> c10(MARK(z0))
MARK(cons(z0, z1)) -> c11(MARK(z0))
a__first(0', z0) -> nil
a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
a__first(z0, z1) -> first(z0, z1)
a__from(z0) -> cons(mark(z0), from(s(z0)))
a__from(z0) -> from(z0)
mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
mark(from(z0)) -> a__from(mark(z0))
mark(0') -> 0'
mark(nil) -> nil
mark(s(z0)) -> s(mark(z0))
mark(cons(z0, z1)) -> cons(mark(z0), z1)

Types:
A__FIRST :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> c:c1:c2
0' :: 0':s:cons:first:from:nil
c :: c:c1:c2
s :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
cons :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c1 :: c5:c6:c7:c8:c9:c10:c11 -> c:c1:c2
MARK :: 0':s:cons:first:from:nil -> c5:c6:c7:c8:c9:c10:c11
c2 :: c:c1:c2
A__FROM :: 0':s:cons:first:from:nil -> c3:c4
c3 :: c5:c6:c7:c8:c9:c10:c11 -> c3:c4
c4 :: c3:c4
first :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c5 :: c:c1:c2 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
mark :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c6 :: c:c1:c2 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
from :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
c7 :: c3:c4 -> c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
c8 :: c5:c6:c7:c8:c9:c10:c11
nil :: 0':s:cons:first:from:nil
c9 :: c5:c6:c7:c8:c9:c10:c11
c10 :: c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
c11 :: c5:c6:c7:c8:c9:c10:c11 -> c5:c6:c7:c8:c9:c10:c11
a__first :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
a__from :: 0':s:cons:first:from:nil -> 0':s:cons:first:from:nil
hole_c:c1:c21_12 :: c:c1:c2
hole_0':s:cons:first:from:nil2_12 :: 0':s:cons:first:from:nil
hole_c5:c6:c7:c8:c9:c10:c113_12 :: c5:c6:c7:c8:c9:c10:c11
hole_c3:c44_12 :: c3:c4
gen_0':s:cons:first:from:nil5_12 :: Nat -> 0':s:cons:first:from:nil
gen_c5:c6:c7:c8:c9:c10:c116_12 :: Nat -> c5:c6:c7:c8:c9:c10:c11


Lemmas:
mark(gen_0':s:cons:first:from:nil5_12(n12763_12)) -> gen_0':s:cons:first:from:nil5_12(n12763_12), rt in Omega(0)
MARK(gen_0':s:cons:first:from:nil5_12(+(1, n31753_12))) -> *7_12, rt in Omega(n31753_12)


Generator Equations:
gen_0':s:cons:first:from:nil5_12(0) <=> 0'
gen_0':s:cons:first:from:nil5_12(+(x, 1)) <=> s(gen_0':s:cons:first:from:nil5_12(x))
gen_c5:c6:c7:c8:c9:c10:c116_12(0) <=> c8
gen_c5:c6:c7:c8:c9:c10:c116_12(+(x, 1)) <=> c5(c, gen_c5:c6:c7:c8:c9:c10:c116_12(x))


The following defined symbols remain to be analysed:
A__FROM

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

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

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

(24)
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__first(0, X) -> nil [1]
   a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z)) [1]
   a__from(X) -> cons(mark(X), from(s(X))) [1]
   mark(first(X1, X2)) -> a__first(mark(X1), mark(X2)) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(0) -> 0 [1]
   mark(nil) -> nil [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   a__first(X1, X2) -> first(X1, X2) [1]
   a__from(X) -> from(X) [1]

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

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

(26)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   a__first(0, X) -> nil [1]
   a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z)) [1]
   a__from(X) -> cons(mark(X), from(s(X))) [1]
   mark(first(X1, X2)) -> a__first(mark(X1), mark(X2)) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(0) -> 0 [1]
   mark(nil) -> nil [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   a__first(X1, X2) -> first(X1, X2) [1]
   a__from(X) -> from(X) [1]

The TRS has the following type information:
a__first :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
0 :: 0:nil:s:cons:first:from
nil :: 0:nil:s:cons:first:from
s :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
cons :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
mark :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
first :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
a__from :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
from :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from

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

(27) 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__from_1
   a__first_2

Due to the following rules being added:
none

And the following fresh constants: none

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

(28)
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__first(0, X) -> nil [1]
   a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z)) [1]
   a__from(X) -> cons(mark(X), from(s(X))) [1]
   mark(first(X1, X2)) -> a__first(mark(X1), mark(X2)) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(0) -> 0 [1]
   mark(nil) -> nil [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   a__first(X1, X2) -> first(X1, X2) [1]
   a__from(X) -> from(X) [1]

The TRS has the following type information:
a__first :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
0 :: 0:nil:s:cons:first:from
nil :: 0:nil:s:cons:first:from
s :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
cons :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
mark :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
first :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
a__from :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
from :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from

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

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

(30)
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__first(0, X) -> nil [1]
   a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z)) [1]
   a__from(X) -> cons(mark(X), from(s(X))) [1]
   mark(first(X1, X2)) -> a__first(mark(X1), mark(X2)) [1]
   mark(from(first(X113, X213))) -> a__from(a__first(mark(X113), mark(X213))) [2]
   mark(from(from(X33))) -> a__from(a__from(mark(X33))) [2]
   mark(from(0)) -> a__from(0) [2]
   mark(from(nil)) -> a__from(nil) [2]
   mark(from(s(X34))) -> a__from(s(mark(X34))) [2]
   mark(from(cons(X114, X214))) -> a__from(cons(mark(X114), X214)) [2]
   mark(0) -> 0 [1]
   mark(nil) -> nil [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   a__first(X1, X2) -> first(X1, X2) [1]
   a__from(X) -> from(X) [1]

The TRS has the following type information:
a__first :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
0 :: 0:nil:s:cons:first:from
nil :: 0:nil:s:cons:first:from
s :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
cons :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
mark :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
first :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
a__from :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
from :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from

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

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

   0 => 0
   nil => 1

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

(32)
Obligation:
Complexity RNTS consisting of the following rules:

   a__first(z, z') -{ 1 }-> 1 :|: z' = X, X >= 0, z = 0
   a__first(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2
   a__first(z, z') -{ 1 }-> 1 + mark(Y) + (1 + X + Z) :|: Z >= 0, z = 1 + X, Y >= 0, X >= 0, z' = 1 + Y + Z
   a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X
   a__from(z) -{ 1 }-> 1 + mark(X) + (1 + (1 + X)) :|: X >= 0, z = X
   mark(z) -{ 2 }-> a__from(a__from(mark(X33))) :|: X33 >= 0, z = 1 + (1 + X33)
   mark(z) -{ 2 }-> a__from(a__first(mark(X113), mark(X213))) :|: X113 >= 0, X213 >= 0, z = 1 + (1 + X113 + X213)
   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(X34)) :|: z = 1 + (1 + X34), X34 >= 0
   mark(z) -{ 2 }-> a__from(1 + mark(X114) + X214) :|: X114 >= 0, X214 >= 0, z = 1 + (1 + X114 + X214)
   mark(z) -{ 1 }-> a__first(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   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


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

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

(34)
Obligation:
Complexity RNTS consisting of the following rules:

   a__first(z, z') -{ 1 }-> 1 :|: z' >= 0, z = 0
   a__first(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0
   a__first(z, z') -{ 1 }-> 1 + mark(Y) + (1 + (z - 1) + Z) :|: Z >= 0, Y >= 0, z - 1 >= 0, z' = 1 + Y + Z
   a__from(z) -{ 1 }-> 1 + z :|: z >= 0
   a__from(z) -{ 1 }-> 1 + mark(z) + (1 + (1 + z)) :|: z >= 0
   mark(z) -{ 2 }-> a__from(a__from(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> a__from(a__first(mark(X113), mark(X213))) :|: X113 >= 0, X213 >= 0, z = 1 + (1 + X113 + X213)
   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(X114) + X214) :|: X114 >= 0, X214 >= 0, z = 1 + (1 + X114 + X214)
   mark(z) -{ 1 }-> a__first(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   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


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

(35) 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

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

(36)
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__first(0, X) -> nil [1]
   a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z)) [1]
   a__from(X) -> cons(mark(X), from(s(X))) [1]
   mark(first(X1, X2)) -> a__first(mark(X1), mark(X2)) [1]
   mark(from(X)) -> a__from(mark(X)) [1]
   mark(0) -> 0 [1]
   mark(nil) -> nil [1]
   mark(s(X)) -> s(mark(X)) [1]
   mark(cons(X1, X2)) -> cons(mark(X1), X2) [1]
   a__first(X1, X2) -> first(X1, X2) [1]
   a__from(X) -> from(X) [1]

The TRS has the following type information:
a__first :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
0 :: 0:nil:s:cons:first:from
nil :: 0:nil:s:cons:first:from
s :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
cons :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
mark :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
first :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
a__from :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from
from :: 0:nil:s:cons:first:from -> 0:nil:s:cons:first:from

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

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

   0 => 0
   nil => 1

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

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

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

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

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(0, z0) -> c
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FIRST(z0, z1) -> c2
   A__FROM(z0) -> c3(MARK(z0))
   A__FROM(z0) -> c4
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(0) -> c8
   MARK(nil) -> c9
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
S tuples:
   A__FIRST(0, z0) -> c
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FIRST(z0, z1) -> c2
   A__FROM(z0) -> c3(MARK(z0))
   A__FROM(z0) -> c4
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(0) -> c8
   MARK(nil) -> c9
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c, c1_1, c2, c3_1, c4, c5_2, c6_2, c7_2, c8, c9, c10_1, c11_1


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

(41) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 5 trailing nodes:
   A__FROM(z0) -> c4
   MARK(nil) -> c9
   A__FIRST(0, z0) -> c
   MARK(0) -> c8
   A__FIRST(z0, z1) -> c2

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c5_2, c6_2, c7_2, c10_1, c11_1


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

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

(44)
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__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))

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

   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)

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

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

(46)
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__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)

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

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

(48)
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__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1)) [1]
   A__FROM(z0) -> c3(MARK(z0)) [1]
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0)) [1]
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(s(z0)) -> c10(MARK(z0)) [1]
   MARK(cons(z0, z1)) -> c11(MARK(z0)) [1]
   a__first(0, z0) -> nil [0]
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2)) [0]
   a__first(z0, z1) -> first(z0, z1) [0]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1)) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(0) -> 0 [0]
   mark(nil) -> nil [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]

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

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

(50)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1)) [1]
   A__FROM(z0) -> c3(MARK(z0)) [1]
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0)) [1]
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(s(z0)) -> c10(MARK(z0)) [1]
   MARK(cons(z0, z1)) -> c11(MARK(z0)) [1]
   a__first(0, z0) -> nil [0]
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2)) [0]
   a__first(z0, z1) -> first(z0, z1) [0]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1)) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(0) -> 0 [0]
   mark(nil) -> nil [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]

The TRS has the following type information:
A__FIRST :: s:cons:first:from:0:nil -> s:cons:first:from:0:nil -> c1
s :: s:cons:first:from:0:nil -> s:cons:first:from:0:nil
cons :: s:cons:first:from:0:nil -> s:cons:first:from:0:nil -> s:cons:first:from:0:nil
c1 :: c5:c6:c7:c10:c11 -> c1
MARK :: s:cons:first:from:0:nil -> c5:c6:c7:c10:c11
A__FROM :: s:cons:first:from:0:nil -> c3
c3 :: c5:c6:c7:c10:c11 -> c3
first :: s:cons:first:from:0:nil -> s:cons:first:from:0:nil -> s:cons:first:from:0:nil
c5 :: c1 -> c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
mark :: s:cons:first:from:0:nil -> s:cons:first:from:0:nil
c6 :: c1 -> c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
from :: s:cons:first:from:0:nil -> s:cons:first:from:0:nil
c7 :: c3 -> c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
c10 :: c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
c11 :: c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
a__first :: s:cons:first:from:0:nil -> s:cons:first:from:0:nil -> s:cons:first:from:0:nil
0 :: s:cons:first:from:0:nil
nil :: s:cons:first:from:0:nil
a__from :: s:cons:first:from:0:nil -> s:cons:first:from:0:nil

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

(51) 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__FIRST_2
   A__FROM_1
   MARK_1

(c) The following functions are completely defined:

   a__first_2
   a__from_1
   mark_1

Due to the following rules being added:

   a__first(v0, v1) -> null_a__first [0]
   a__from(v0) -> null_a__from [0]
   mark(v0) -> null_mark [0]

And the following fresh constants:    null_a__first, null_a__from, null_mark, const, const1, const2

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

(52)
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__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1)) [1]
   A__FROM(z0) -> c3(MARK(z0)) [1]
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0)) [1]
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(s(z0)) -> c10(MARK(z0)) [1]
   MARK(cons(z0, z1)) -> c11(MARK(z0)) [1]
   a__first(0, z0) -> nil [0]
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2)) [0]
   a__first(z0, z1) -> first(z0, z1) [0]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1)) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(0) -> 0 [0]
   mark(nil) -> nil [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   a__first(v0, v1) -> null_a__first [0]
   a__from(v0) -> null_a__from [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
A__FIRST :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> c1
s :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
cons :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c1 :: c5:c6:c7:c10:c11 -> c1
MARK :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> c5:c6:c7:c10:c11
A__FROM :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> c3
c3 :: c5:c6:c7:c10:c11 -> c3
first :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c5 :: c1 -> c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
mark :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c6 :: c1 -> c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
from :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c7 :: c3 -> c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
c10 :: c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
c11 :: c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
a__first :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
0 :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
nil :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
a__from :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
null_a__first :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
null_a__from :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
null_mark :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
const :: c1
const1 :: c5:c6:c7:c10:c11
const2 :: c3

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

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

(54)
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__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1)) [1]
   A__FROM(z0) -> c3(MARK(z0)) [1]
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0)) [1]
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1)) [1]
   MARK(from(first(z063, z131))) -> c7(A__FROM(a__first(mark(z063), mark(z131))), MARK(first(z063, z131))) [1]
   MARK(from(from(z064))) -> c7(A__FROM(a__from(mark(z064))), MARK(from(z064))) [1]
   MARK(from(0)) -> c7(A__FROM(0), MARK(0)) [1]
   MARK(from(nil)) -> c7(A__FROM(nil), MARK(nil)) [1]
   MARK(from(s(z065))) -> c7(A__FROM(s(mark(z065))), MARK(s(z065))) [1]
   MARK(from(cons(z066, z132))) -> c7(A__FROM(cons(mark(z066), z132)), MARK(cons(z066, z132))) [1]
   MARK(from(z0)) -> c7(A__FROM(null_mark), MARK(z0)) [1]
   MARK(s(z0)) -> c10(MARK(z0)) [1]
   MARK(cons(z0, z1)) -> c11(MARK(z0)) [1]
   a__first(0, z0) -> nil [0]
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2)) [0]
   a__first(z0, z1) -> first(z0, z1) [0]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1)) [0]
   mark(from(first(z099, z149))) -> a__from(a__first(mark(z099), mark(z149))) [0]
   mark(from(from(z0100))) -> a__from(a__from(mark(z0100))) [0]
   mark(from(0)) -> a__from(0) [0]
   mark(from(nil)) -> a__from(nil) [0]
   mark(from(s(z0101))) -> a__from(s(mark(z0101))) [0]
   mark(from(cons(z0102, z150))) -> a__from(cons(mark(z0102), z150)) [0]
   mark(from(z0)) -> a__from(null_mark) [0]
   mark(0) -> 0 [0]
   mark(nil) -> nil [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   a__first(v0, v1) -> null_a__first [0]
   a__from(v0) -> null_a__from [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
A__FIRST :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> c1
s :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
cons :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c1 :: c5:c6:c7:c10:c11 -> c1
MARK :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> c5:c6:c7:c10:c11
A__FROM :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> c3
c3 :: c5:c6:c7:c10:c11 -> c3
first :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c5 :: c1 -> c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
mark :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c6 :: c1 -> c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
from :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c7 :: c3 -> c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
c10 :: c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
c11 :: c5:c6:c7:c10:c11 -> c5:c6:c7:c10:c11
a__first :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
0 :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
nil :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
a__from :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
null_a__first :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
null_a__from :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
null_mark :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
const :: c1
const1 :: c5:c6:c7:c10:c11
const2 :: c3

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

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

   0 => 0
   nil => 1
   null_a__first => 0
   null_a__from => 0
   null_mark => 0
   const => 0
   const1 => 0
   const2 => 0

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

(56)
Obligation:
Complexity RNTS consisting of the following rules:

   A__FIRST(z, z') -{ 1 }-> 1 + MARK(z1) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0
   A__FROM(z) -{ 1 }-> 1 + MARK(z0) :|: z = z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + A__FROM(a__from(mark(z064))) + MARK(1 + z064) :|: z = 1 + (1 + z064), z064 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(a__first(mark(z063), mark(z131))) + MARK(1 + z063 + z131) :|: z063 >= 0, z131 >= 0, z = 1 + (1 + z063 + z131)
   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(z065)) + MARK(1 + z065) :|: z = 1 + (1 + z065), z065 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z066) + z132) + MARK(1 + z066 + z132) :|: z132 >= 0, z = 1 + (1 + z066 + z132), z066 >= 0
   MARK(z) -{ 1 }-> 1 + A__FIRST(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + A__FIRST(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   a__first(z, z') -{ 0 }-> 1 :|: z0 >= 0, z = 0, z' = z0
   a__first(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   a__first(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0
   a__first(z, z') -{ 0 }-> 1 + mark(z1) + (1 + z0 + z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0
   a__from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a__from(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0
   a__from(z) -{ 0 }-> 1 + mark(z0) + (1 + (1 + z0)) :|: z = z0, z0 >= 0
   mark(z) -{ 0 }-> a__from(a__from(mark(z0100))) :|: z0100 >= 0, z = 1 + (1 + z0100)
   mark(z) -{ 0 }-> a__from(a__first(mark(z099), mark(z149))) :|: z149 >= 0, z099 >= 0, z = 1 + (1 + z099 + z149)
   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(z0101)) :|: z0101 >= 0, z = 1 + (1 + z0101)
   mark(z) -{ 0 }-> a__from(1 + mark(z0102) + z150) :|: z0102 >= 0, z150 >= 0, z = 1 + (1 + z0102 + z150)
   mark(z) -{ 0 }-> a__first(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   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


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

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

(58)
Obligation:
Complexity RNTS consisting of the following rules:

   A__FIRST(z, z') -{ 1 }-> 1 + MARK(z1) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0
   A__FROM(z) -{ 1 }-> 1 + MARK(z) :|: z >= 0
   MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + MARK(z - 1) :|: z - 1 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(a__from(mark(z - 2))) + MARK(1 + (z - 2)) :|: z - 2 >= 0
   MARK(z) -{ 1 }-> 1 + A__FROM(a__first(mark(z063), mark(z131))) + MARK(1 + z063 + z131) :|: z063 >= 0, z131 >= 0, z = 1 + (1 + z063 + z131)
   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(z066) + z132) + MARK(1 + z066 + z132) :|: z132 >= 0, z = 1 + (1 + z066 + z132), z066 >= 0
   MARK(z) -{ 1 }-> 1 + A__FIRST(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + A__FIRST(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   a__first(z, z') -{ 0 }-> 1 :|: z' >= 0, z = 0
   a__first(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0
   a__first(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0
   a__first(z, z') -{ 0 }-> 1 + mark(z1) + (1 + (z - 1) + z2) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0
   a__from(z) -{ 0 }-> 0 :|: z >= 0
   a__from(z) -{ 0 }-> 1 + z :|: z >= 0
   a__from(z) -{ 0 }-> 1 + mark(z) + (1 + (1 + z)) :|: z >= 0
   mark(z) -{ 0 }-> a__from(a__from(mark(z - 2))) :|: z - 2 >= 0
   mark(z) -{ 0 }-> a__from(a__first(mark(z099), mark(z149))) :|: z149 >= 0, z099 >= 0, z = 1 + (1 + z099 + z149)
   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(z0102) + z150) :|: z0102 >= 0, z150 >= 0, z = 1 + (1 + z0102 + z150)
   mark(z) -{ 0 }-> a__first(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   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


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

(59) 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__first(v0, v1) -> null_a__first [0]
   a__from(v0) -> null_a__from [0]
   mark(v0) -> null_mark [0]
   A__FIRST(v0, v1) -> null_A__FIRST [0]
   MARK(v0) -> null_MARK [0]

And the following fresh constants:    null_a__first, null_a__from, null_mark, null_A__FIRST, null_MARK, const

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

(60)
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__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1)) [1]
   A__FROM(z0) -> c3(MARK(z0)) [1]
   MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0)) [1]
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1)) [1]
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) [1]
   MARK(s(z0)) -> c10(MARK(z0)) [1]
   MARK(cons(z0, z1)) -> c11(MARK(z0)) [1]
   a__first(0, z0) -> nil [0]
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2)) [0]
   a__first(z0, z1) -> first(z0, z1) [0]
   a__from(z0) -> cons(mark(z0), from(s(z0))) [0]
   a__from(z0) -> from(z0) [0]
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1)) [0]
   mark(from(z0)) -> a__from(mark(z0)) [0]
   mark(0) -> 0 [0]
   mark(nil) -> nil [0]
   mark(s(z0)) -> s(mark(z0)) [0]
   mark(cons(z0, z1)) -> cons(mark(z0), z1) [0]
   a__first(v0, v1) -> null_a__first [0]
   a__from(v0) -> null_a__from [0]
   mark(v0) -> null_mark [0]
   A__FIRST(v0, v1) -> null_A__FIRST [0]
   MARK(v0) -> null_MARK [0]

The TRS has the following type information:
A__FIRST :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> c1:null_A__FIRST
s :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
cons :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c1 :: c5:c6:c7:c10:c11:null_MARK -> c1:null_A__FIRST
MARK :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> c5:c6:c7:c10:c11:null_MARK
A__FROM :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> c3
c3 :: c5:c6:c7:c10:c11:null_MARK -> c3
first :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c5 :: c1:null_A__FIRST -> c5:c6:c7:c10:c11:null_MARK -> c5:c6:c7:c10:c11:null_MARK
mark :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c6 :: c1:null_A__FIRST -> c5:c6:c7:c10:c11:null_MARK -> c5:c6:c7:c10:c11:null_MARK
from :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
c7 :: c3 -> c5:c6:c7:c10:c11:null_MARK -> c5:c6:c7:c10:c11:null_MARK
c10 :: c5:c6:c7:c10:c11:null_MARK -> c5:c6:c7:c10:c11:null_MARK
c11 :: c5:c6:c7:c10:c11:null_MARK -> c5:c6:c7:c10:c11:null_MARK
a__first :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
0 :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
nil :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
a__from :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark -> s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
null_a__first :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
null_a__from :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
null_mark :: s:cons:first:from:0:nil:null_a__first:null_a__from:null_mark
null_A__FIRST :: c1:null_A__FIRST
null_MARK :: c5:c6:c7:c10:c11:null_MARK
const :: c3

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

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

   0 => 0
   nil => 1
   null_a__first => 0
   null_a__from => 0
   null_mark => 0
   null_A__FIRST => 0
   null_MARK => 0
   const => 0

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

(62)
Obligation:
Complexity RNTS consisting of the following rules:

   A__FIRST(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   A__FIRST(z, z') -{ 1 }-> 1 + MARK(z1) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0
   A__FROM(z) -{ 1 }-> 1 + MARK(z0) :|: z = z0, z0 >= 0
   MARK(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + A__FROM(mark(z0)) + MARK(z0) :|: z = 1 + z0, z0 >= 0
   MARK(z) -{ 1 }-> 1 + A__FIRST(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   MARK(z) -{ 1 }-> 1 + A__FIRST(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   a__first(z, z') -{ 0 }-> 1 :|: z0 >= 0, z = 0, z' = z0
   a__first(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   a__first(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0
   a__first(z, z') -{ 0 }-> 1 + mark(z1) + (1 + z0 + z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0
   a__from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a__from(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0
   a__from(z) -{ 0 }-> 1 + mark(z0) + (1 + (1 + z0)) :|: z = z0, z0 >= 0
   mark(z) -{ 0 }-> a__from(mark(z0)) :|: z = 1 + z0, z0 >= 0
   mark(z) -{ 0 }-> a__first(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1
   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.

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

(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(z0, z1)) -> c5(A__FIRST(mark(z0), mark(z1)), MARK(z0)) by 
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, 0)) -> c5(A__FIRST(mark(x0), 0), MARK(x0))
   MARK(first(x0, nil)) -> c5(A__FIRST(mark(x0), nil), MARK(x0))
   MARK(first(x0, s(z0))) -> c5(A__FIRST(mark(x0), s(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(0, x1)) -> c5(A__FIRST(0, mark(x1)), MARK(0))
   MARK(first(nil, x1)) -> c5(A__FIRST(nil, mark(x1)), MARK(nil))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(cons(z0, z1), x1)) -> c5(A__FIRST(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1)))

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, 0)) -> c5(A__FIRST(mark(x0), 0), MARK(x0))
   MARK(first(x0, nil)) -> c5(A__FIRST(mark(x0), nil), MARK(x0))
   MARK(first(x0, s(z0))) -> c5(A__FIRST(mark(x0), s(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(0, x1)) -> c5(A__FIRST(0, mark(x1)), MARK(0))
   MARK(first(nil, x1)) -> c5(A__FIRST(nil, mark(x1)), MARK(nil))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(cons(z0, z1), x1)) -> c5(A__FIRST(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, 0)) -> c5(A__FIRST(mark(x0), 0), MARK(x0))
   MARK(first(x0, nil)) -> c5(A__FIRST(mark(x0), nil), MARK(x0))
   MARK(first(x0, s(z0))) -> c5(A__FIRST(mark(x0), s(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(0, x1)) -> c5(A__FIRST(0, mark(x1)), MARK(0))
   MARK(first(nil, x1)) -> c5(A__FIRST(nil, mark(x1)), MARK(nil))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(cons(z0, z1), x1)) -> c5(A__FIRST(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c6_2, c7_2, c10_1, c11_1, c5_2


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

(65) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(first(0, x1)) -> c5(A__FIRST(0, mark(x1)), MARK(0))
   MARK(first(nil, x1)) -> c5(A__FIRST(nil, mark(x1)), MARK(nil))

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, 0)) -> c5(A__FIRST(mark(x0), 0), MARK(x0))
   MARK(first(x0, nil)) -> c5(A__FIRST(mark(x0), nil), MARK(x0))
   MARK(first(x0, s(z0))) -> c5(A__FIRST(mark(x0), s(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(cons(z0, z1), x1)) -> c5(A__FIRST(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, 0)) -> c5(A__FIRST(mark(x0), 0), MARK(x0))
   MARK(first(x0, nil)) -> c5(A__FIRST(mark(x0), nil), MARK(x0))
   MARK(first(x0, s(z0))) -> c5(A__FIRST(mark(x0), s(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(cons(z0, z1), x1)) -> c5(A__FIRST(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c6_2, c7_2, c10_1, c11_1, c5_2


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

(67) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c6_2, c7_2, c10_1, c11_1, c5_2, c5_1


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

(69) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(z0, z1)) -> c6(A__FIRST(mark(z0), mark(z1)), MARK(z1)) by 
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, 0)) -> c6(A__FIRST(mark(x0), 0), MARK(0))
   MARK(first(x0, nil)) -> c6(A__FIRST(mark(x0), nil), MARK(nil))
   MARK(first(x0, s(z0))) -> c6(A__FIRST(mark(x0), s(mark(z0))), MARK(s(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(0, x1)) -> c6(A__FIRST(0, mark(x1)), MARK(x1))
   MARK(first(nil, x1)) -> c6(A__FIRST(nil, mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(A__FIRST(cons(mark(z0), z1), mark(x1)), MARK(x1))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, 0)) -> c6(A__FIRST(mark(x0), 0), MARK(0))
   MARK(first(x0, nil)) -> c6(A__FIRST(mark(x0), nil), MARK(nil))
   MARK(first(x0, s(z0))) -> c6(A__FIRST(mark(x0), s(mark(z0))), MARK(s(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(0, x1)) -> c6(A__FIRST(0, mark(x1)), MARK(x1))
   MARK(first(nil, x1)) -> c6(A__FIRST(nil, mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(A__FIRST(cons(mark(z0), z1), mark(x1)), MARK(x1))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, 0)) -> c6(A__FIRST(mark(x0), 0), MARK(0))
   MARK(first(x0, nil)) -> c6(A__FIRST(mark(x0), nil), MARK(nil))
   MARK(first(x0, s(z0))) -> c6(A__FIRST(mark(x0), s(mark(z0))), MARK(s(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(0, x1)) -> c6(A__FIRST(0, mark(x1)), MARK(x1))
   MARK(first(nil, x1)) -> c6(A__FIRST(nil, mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(A__FIRST(cons(mark(z0), z1), mark(x1)), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2


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

(71) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(first(x0, nil)) -> c6(A__FIRST(mark(x0), nil), MARK(nil))
   MARK(first(x0, 0)) -> c6(A__FIRST(mark(x0), 0), MARK(0))

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, s(z0))) -> c6(A__FIRST(mark(x0), s(mark(z0))), MARK(s(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(0, x1)) -> c6(A__FIRST(0, mark(x1)), MARK(x1))
   MARK(first(nil, x1)) -> c6(A__FIRST(nil, mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(A__FIRST(cons(mark(z0), z1), mark(x1)), MARK(x1))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, s(z0))) -> c6(A__FIRST(mark(x0), s(mark(z0))), MARK(s(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(0, x1)) -> c6(A__FIRST(0, mark(x1)), MARK(x1))
   MARK(first(nil, x1)) -> c6(A__FIRST(nil, mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(A__FIRST(cons(mark(z0), z1), mark(x1)), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2


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

(73) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

(75) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(x0, first(z0, z1))) -> c5(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(x0)) by 
   MARK(first(x0, first(x1, x2))) -> c5(A__FIRST(mark(x0), first(mark(x1), mark(x2))), MARK(x0))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(0, first(x1, x2))) -> c5(A__FIRST(0, a__first(mark(x1), mark(x2))), MARK(0))
   MARK(first(nil, first(x1, x2))) -> c5(A__FIRST(nil, a__first(mark(x1), mark(x2))), MARK(nil))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(A__FIRST(cons(mark(z0), z1), a__first(mark(x1), mark(x2))), MARK(cons(z0, z1)))

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, x2))) -> c5(A__FIRST(mark(x0), first(mark(x1), mark(x2))), MARK(x0))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(0, first(x1, x2))) -> c5(A__FIRST(0, a__first(mark(x1), mark(x2))), MARK(0))
   MARK(first(nil, first(x1, x2))) -> c5(A__FIRST(nil, a__first(mark(x1), mark(x2))), MARK(nil))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(A__FIRST(cons(mark(z0), z1), a__first(mark(x1), mark(x2))), MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, x2))) -> c5(A__FIRST(mark(x0), first(mark(x1), mark(x2))), MARK(x0))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(0, first(x1, x2))) -> c5(A__FIRST(0, a__first(mark(x1), mark(x2))), MARK(0))
   MARK(first(nil, first(x1, x2))) -> c5(A__FIRST(nil, a__first(mark(x1), mark(x2))), MARK(nil))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(A__FIRST(cons(mark(z0), z1), a__first(mark(x1), mark(x2))), MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

(77) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(first(0, first(x1, x2))) -> c5(A__FIRST(0, a__first(mark(x1), mark(x2))), MARK(0))
   MARK(first(nil, first(x1, x2))) -> c5(A__FIRST(nil, a__first(mark(x1), mark(x2))), MARK(nil))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, x2))) -> c5(A__FIRST(mark(x0), first(mark(x1), mark(x2))), MARK(x0))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(A__FIRST(cons(mark(z0), z1), a__first(mark(x1), mark(x2))), MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, x2))) -> c5(A__FIRST(mark(x0), first(mark(x1), mark(x2))), MARK(x0))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(A__FIRST(cons(mark(z0), z1), a__first(mark(x1), mark(x2))), MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

(81) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(x0, from(z0))) -> c5(A__FIRST(mark(x0), a__from(mark(z0))), MARK(x0)) by 
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), from(mark(x1))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(0, from(x1))) -> c5(A__FIRST(0, a__from(mark(x1))), MARK(0))
   MARK(first(nil, from(x1))) -> c5(A__FIRST(nil, a__from(mark(x1))), MARK(nil))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(cons(z0, z1), from(x1))) -> c5(A__FIRST(cons(mark(z0), z1), a__from(mark(x1))), MARK(cons(z0, z1)))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), from(mark(x1))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(0, from(x1))) -> c5(A__FIRST(0, a__from(mark(x1))), MARK(0))
   MARK(first(nil, from(x1))) -> c5(A__FIRST(nil, a__from(mark(x1))), MARK(nil))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(cons(z0, z1), from(x1))) -> c5(A__FIRST(cons(mark(z0), z1), a__from(mark(x1))), MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), from(mark(x1))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(0, from(x1))) -> c5(A__FIRST(0, a__from(mark(x1))), MARK(0))
   MARK(first(nil, from(x1))) -> c5(A__FIRST(nil, a__from(mark(x1))), MARK(nil))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(cons(z0, z1), from(x1))) -> c5(A__FIRST(cons(mark(z0), z1), a__from(mark(x1))), MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

(83) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(first(nil, from(x1))) -> c5(A__FIRST(nil, a__from(mark(x1))), MARK(nil))
   MARK(first(0, from(x1))) -> c5(A__FIRST(0, a__from(mark(x1))), MARK(0))

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), from(mark(x1))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(cons(z0, z1), from(x1))) -> c5(A__FIRST(cons(mark(z0), z1), a__from(mark(x1))), MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), from(mark(x1))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(cons(z0, z1), from(x1))) -> c5(A__FIRST(cons(mark(z0), z1), a__from(mark(x1))), MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(x0, cons(z0, z1))) -> c5(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(x0)) by 
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(0, cons(x1, x2))) -> c5(A__FIRST(0, cons(mark(x1), x2)), MARK(0))
   MARK(first(nil, cons(x1, x2))) -> c5(A__FIRST(nil, cons(mark(x1), x2)), MARK(nil))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(A__FIRST(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(z0, z1)))

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(0, cons(x1, x2))) -> c5(A__FIRST(0, cons(mark(x1), x2)), MARK(0))
   MARK(first(nil, cons(x1, x2))) -> c5(A__FIRST(nil, cons(mark(x1), x2)), MARK(nil))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(A__FIRST(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(0, cons(x1, x2))) -> c5(A__FIRST(0, cons(mark(x1), x2)), MARK(0))
   MARK(first(nil, cons(x1, x2))) -> c5(A__FIRST(nil, cons(mark(x1), x2)), MARK(nil))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(A__FIRST(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

(89) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(first(0, cons(x1, x2))) -> c5(A__FIRST(0, cons(mark(x1), x2)), MARK(0))
   MARK(first(nil, cons(x1, x2))) -> c5(A__FIRST(nil, cons(mark(x1), x2)), MARK(nil))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(A__FIRST(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(A__FIRST(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1)))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

(93) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(first(z0, z1), x1)) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(first(z0, z1))) by 
   MARK(first(first(x0, x1), first(z0, z1))) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), a__first(mark(z0), mark(z1))), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), from(z0))) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), a__from(mark(z0))), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), 0)) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), 0), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), nil), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), s(mark(z0))), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), cons(z0, z1))) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), cons(mark(z0), z1)), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(A__FIRST(first(mark(x0), mark(x1)), mark(x2)), MARK(first(x0, x1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, x1), 0)) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), 0), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), nil), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), s(mark(z0))), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(A__FIRST(first(mark(x0), mark(x1)), mark(x2)), MARK(first(x0, x1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, x1), 0)) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), 0), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), nil), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(A__FIRST(a__first(mark(x0), mark(x1)), s(mark(z0))), MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(A__FIRST(first(mark(x0), mark(x1)), mark(x2)), MARK(first(x0, x1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

(95) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0)))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(from(z0), x1)) -> c5(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(from(z0))) by 
   MARK(first(from(x0), first(z0, z1))) -> c5(A__FIRST(a__from(mark(x0)), a__first(mark(z0), mark(z1))), MARK(from(x0)))
   MARK(first(from(x0), from(z0))) -> c5(A__FIRST(a__from(mark(x0)), a__from(mark(z0))), MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(A__FIRST(a__from(mark(x0)), 0), MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(A__FIRST(a__from(mark(x0)), nil), MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(A__FIRST(a__from(mark(x0)), s(mark(z0))), MARK(from(x0)))
   MARK(first(from(x0), cons(z0, z1))) -> c5(A__FIRST(a__from(mark(x0)), cons(mark(z0), z1)), MARK(from(x0)))
   MARK(first(from(x0), x1)) -> c5(A__FIRST(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(from(x0)))
   MARK(first(from(x0), x1)) -> c5(A__FIRST(from(mark(x0)), mark(x1)), MARK(from(x0)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))

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

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(x0), 0)) -> c5(A__FIRST(a__from(mark(x0)), 0), MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(A__FIRST(a__from(mark(x0)), nil), MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(A__FIRST(a__from(mark(x0)), s(mark(z0))), MARK(from(x0)))
   MARK(first(from(x0), x1)) -> c5(A__FIRST(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(from(x0)))
   MARK(first(from(x0), x1)) -> c5(A__FIRST(from(mark(x0)), mark(x1)), MARK(from(x0)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(x0), 0)) -> c5(A__FIRST(a__from(mark(x0)), 0), MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(A__FIRST(a__from(mark(x0)), nil), MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(A__FIRST(a__from(mark(x0)), s(mark(z0))), MARK(from(x0)))
   MARK(first(from(x0), x1)) -> c5(A__FIRST(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(from(x0)))
   MARK(first(from(x0), x1)) -> c5(A__FIRST(from(mark(x0)), mark(x1)), MARK(from(x0)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

(99) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 5 trailing tuple parts
----------------------------------------

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0)))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_2, c5_1, c6_2, c6_1


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

(101) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(s(z0), x1)) -> c5(A__FIRST(s(mark(z0)), mark(x1)), MARK(s(z0))) by 
   MARK(first(s(x0), first(z0, z1))) -> c5(A__FIRST(s(mark(x0)), a__first(mark(z0), mark(z1))), MARK(s(x0)))
   MARK(first(s(x0), from(z0))) -> c5(A__FIRST(s(mark(x0)), a__from(mark(z0))), MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(A__FIRST(s(mark(x0)), 0), MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(A__FIRST(s(mark(x0)), nil), MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(A__FIRST(s(mark(x0)), s(mark(z0))), MARK(s(x0)))
   MARK(first(s(x0), cons(z0, z1))) -> c5(A__FIRST(s(mark(x0)), cons(mark(z0), z1)), MARK(s(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(x0), 0)) -> c5(A__FIRST(s(mark(x0)), 0), MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(A__FIRST(s(mark(x0)), nil), MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(A__FIRST(s(mark(x0)), s(mark(z0))), MARK(s(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(x0), 0)) -> c5(A__FIRST(s(mark(x0)), 0), MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(A__FIRST(s(mark(x0)), nil), MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(A__FIRST(s(mark(x0)), s(mark(z0))), MARK(s(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(103) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(105) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(x0, first(z0, z1))) -> c6(A__FIRST(mark(x0), a__first(mark(z0), mark(z1))), MARK(first(z0, z1))) by 
   MARK(first(x0, first(x1, x2))) -> c6(A__FIRST(mark(x0), first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(A__FIRST(0, a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(A__FIRST(nil, a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(A__FIRST(cons(mark(z0), z1), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))

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

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, x2))) -> c6(A__FIRST(mark(x0), first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(A__FIRST(0, a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(A__FIRST(nil, a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(A__FIRST(cons(mark(z0), z1), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, x2))) -> c6(A__FIRST(mark(x0), first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(A__FIRST(0, a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(A__FIRST(nil, a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(A__FIRST(cons(mark(z0), z1), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(107) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(109) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(x0, from(z0))) -> c6(A__FIRST(mark(x0), a__from(mark(z0))), MARK(from(z0))) by 
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(A__FIRST(0, a__from(mark(x1))), MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(A__FIRST(nil, a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(A__FIRST(cons(mark(z0), z1), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))

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

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(A__FIRST(0, a__from(mark(x1))), MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(A__FIRST(nil, a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(A__FIRST(cons(mark(z0), z1), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(A__FIRST(0, a__from(mark(x1))), MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(A__FIRST(nil, a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(A__FIRST(cons(mark(z0), z1), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(111) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(113) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(x0, cons(z0, z1))) -> c6(A__FIRST(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) by 
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(A__FIRST(0, cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(A__FIRST(nil, cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(A__FIRST(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))

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

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(A__FIRST(0, cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(A__FIRST(nil, cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(A__FIRST(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(A__FIRST(0, cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(A__FIRST(nil, cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(A__FIRST(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(115) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(117) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(first(z0, z1), x1)) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), mark(x1)), MARK(x1)) by 
   MARK(first(first(x0, x1), first(z0, z1))) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(first(x0, x1), from(z0))) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(first(x0, x1), 0)) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), 0), MARK(0))
   MARK(first(first(x0, x1), nil)) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), nil), MARK(nil))
   MARK(first(first(x0, x1), s(z0))) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), s(mark(z0))), MARK(s(z0)))
   MARK(first(first(x0, x1), cons(z0, z1))) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(first(x0, x1), x2)) -> c6(A__FIRST(first(mark(x0), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))

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

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, x1), 0)) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), 0), MARK(0))
   MARK(first(first(x0, x1), nil)) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), nil), MARK(nil))
   MARK(first(first(x0, x1), s(z0))) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), s(mark(z0))), MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(A__FIRST(first(mark(x0), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, x1), 0)) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), 0), MARK(0))
   MARK(first(first(x0, x1), nil)) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), nil), MARK(nil))
   MARK(first(first(x0, x1), s(z0))) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), s(mark(z0))), MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(A__FIRST(first(mark(x0), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(119) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(first(first(x0, x1), nil)) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), nil), MARK(nil))
   MARK(first(first(x0, x1), 0)) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), 0), MARK(0))

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

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, x1), s(z0))) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), s(mark(z0))), MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(A__FIRST(first(mark(x0), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, x1), s(z0))) -> c6(A__FIRST(a__first(mark(x0), mark(x1)), s(mark(z0))), MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(A__FIRST(first(mark(x0), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

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

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(123) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(from(z0), x1)) -> c6(A__FIRST(a__from(mark(z0)), mark(x1)), MARK(x1)) by 
   MARK(first(from(x0), first(z0, z1))) -> c6(A__FIRST(a__from(mark(x0)), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(from(x0), from(z0))) -> c6(A__FIRST(a__from(mark(x0)), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(from(x0), 0)) -> c6(A__FIRST(a__from(mark(x0)), 0), MARK(0))
   MARK(first(from(x0), nil)) -> c6(A__FIRST(a__from(mark(x0)), nil), MARK(nil))
   MARK(first(from(x0), s(z0))) -> c6(A__FIRST(a__from(mark(x0)), s(mark(z0))), MARK(s(z0)))
   MARK(first(from(x0), cons(z0, z1))) -> c6(A__FIRST(a__from(mark(x0)), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(from(x0), x1)) -> c6(A__FIRST(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(x1))
   MARK(first(from(x0), x1)) -> c6(A__FIRST(from(mark(x0)), mark(x1)), MARK(x1))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))

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

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(x0), 0)) -> c6(A__FIRST(a__from(mark(x0)), 0), MARK(0))
   MARK(first(from(x0), nil)) -> c6(A__FIRST(a__from(mark(x0)), nil), MARK(nil))
   MARK(first(from(x0), s(z0))) -> c6(A__FIRST(a__from(mark(x0)), s(mark(z0))), MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(A__FIRST(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(x1))
   MARK(first(from(x0), x1)) -> c6(A__FIRST(from(mark(x0)), mark(x1)), MARK(x1))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(x0), 0)) -> c6(A__FIRST(a__from(mark(x0)), 0), MARK(0))
   MARK(first(from(x0), nil)) -> c6(A__FIRST(a__from(mark(x0)), nil), MARK(nil))
   MARK(first(from(x0), s(z0))) -> c6(A__FIRST(a__from(mark(x0)), s(mark(z0))), MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(A__FIRST(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(x1))
   MARK(first(from(x0), x1)) -> c6(A__FIRST(from(mark(x0)), mark(x1)), MARK(x1))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(125) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(first(from(x0), nil)) -> c6(A__FIRST(a__from(mark(x0)), nil), MARK(nil))
   MARK(first(from(x0), 0)) -> c6(A__FIRST(a__from(mark(x0)), 0), MARK(0))

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

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(x0), s(z0))) -> c6(A__FIRST(a__from(mark(x0)), s(mark(z0))), MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(A__FIRST(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(x1))
   MARK(first(from(x0), x1)) -> c6(A__FIRST(from(mark(x0)), mark(x1)), MARK(x1))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(x0), s(z0))) -> c6(A__FIRST(a__from(mark(x0)), s(mark(z0))), MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(A__FIRST(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(x1))
   MARK(first(from(x0), x1)) -> c6(A__FIRST(from(mark(x0)), mark(x1)), MARK(x1))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(127) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_2, c6_1, c5_2


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

(129) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(first(s(z0), x1)) -> c6(A__FIRST(s(mark(z0)), mark(x1)), MARK(x1)) by 
   MARK(first(s(x0), first(z0, z1))) -> c6(A__FIRST(s(mark(x0)), a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(first(s(x0), from(z0))) -> c6(A__FIRST(s(mark(x0)), a__from(mark(z0))), MARK(from(z0)))
   MARK(first(s(x0), 0)) -> c6(A__FIRST(s(mark(x0)), 0), MARK(0))
   MARK(first(s(x0), nil)) -> c6(A__FIRST(s(mark(x0)), nil), MARK(nil))
   MARK(first(s(x0), s(z0))) -> c6(A__FIRST(s(mark(x0)), s(mark(z0))), MARK(s(z0)))
   MARK(first(s(x0), cons(z0, z1))) -> c6(A__FIRST(s(mark(x0)), cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))

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

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(x0), 0)) -> c6(A__FIRST(s(mark(x0)), 0), MARK(0))
   MARK(first(s(x0), nil)) -> c6(A__FIRST(s(mark(x0)), nil), MARK(nil))
   MARK(first(s(x0), s(z0))) -> c6(A__FIRST(s(mark(x0)), s(mark(z0))), MARK(s(z0)))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(x0), 0)) -> c6(A__FIRST(s(mark(x0)), 0), MARK(0))
   MARK(first(s(x0), nil)) -> c6(A__FIRST(s(mark(x0)), nil), MARK(nil))
   MARK(first(s(x0), s(z0))) -> c6(A__FIRST(s(mark(x0)), s(mark(z0))), MARK(s(z0)))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_1, c5_2, c6_2


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

(131) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(first(s(x0), nil)) -> c6(A__FIRST(s(mark(x0)), nil), MARK(nil))
   MARK(first(s(x0), 0)) -> c6(A__FIRST(s(mark(x0)), 0), MARK(0))

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

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(x0), s(z0))) -> c6(A__FIRST(s(mark(x0)), s(mark(z0))), MARK(s(z0)))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(x0), s(z0))) -> c6(A__FIRST(s(mark(x0)), s(mark(z0))), MARK(s(z0)))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_1, c5_2, c6_2


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

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

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(s(x0), s(z0))) -> c6(MARK(s(z0)))
S tuples:
   A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1))
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(s(x0), s(z0))) -> c6(MARK(s(z0)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FIRST_2, A__FROM_1, MARK_1

Compound Symbols:   c1_1, c3_1, c7_2, c10_1, c11_1, c5_1, c6_1, c5_2, c6_2


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

(135) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__FIRST(s(z0), cons(z1, z2)) -> c1(MARK(z1)) by 
   A__FIRST(s(z0), cons(from(y0), z2)) -> c1(MARK(from(y0)))
   A__FIRST(s(z0), cons(s(y0), z2)) -> c1(MARK(s(y0)))
   A__FIRST(s(z0), cons(cons(y0, y1), z2)) -> c1(MARK(cons(y0, y1)))
   A__FIRST(s(z0), cons(first(y0, 0), z2)) -> c1(MARK(first(y0, 0)))
   A__FIRST(s(z0), cons(first(y0, nil), z2)) -> c1(MARK(first(y0, nil)))
   A__FIRST(s(z0), cons(first(y0, s(y1)), z2)) -> c1(MARK(first(y0, s(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), y2), z2)) -> c1(MARK(first(cons(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(0, y0), z2)) -> c1(MARK(first(0, y0)))
   A__FIRST(s(z0), cons(first(nil, y0), z2)) -> c1(MARK(first(nil, y0)))
   A__FIRST(s(z0), cons(first(y0, first(y1, first(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, from(y2))), z2)) -> c1(MARK(first(y0, first(y1, from(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, 0)), z2)) -> c1(MARK(first(y0, first(y1, 0))))
   A__FIRST(s(z0), cons(first(y0, first(y1, nil)), z2)) -> c1(MARK(first(y0, first(y1, nil))))
   A__FIRST(s(z0), cons(first(y0, first(y1, s(y2))), z2)) -> c1(MARK(first(y0, first(y1, s(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, cons(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, first(from(y1), y2)), z2)) -> c1(MARK(first(y0, first(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(0, y1)), z2)) -> c1(MARK(first(y0, first(0, y1))))
   A__FIRST(s(z0), cons(first(y0, first(nil, y1)), z2)) -> c1(MARK(first(y0, first(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, first(s(y1), y2)), z2)) -> c1(MARK(first(y0, first(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), first(y1, y2)), z2)) -> c1(MARK(first(from(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), first(y1, y2)), z2)) -> c1(MARK(first(s(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))

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

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c5(A__FIRST(mark(x0), cons(0, x2)), MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(A__FIRST(mark(x0), cons(nil, x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(0, x2))) -> c6(A__FIRST(mark(x0), cons(0, x2)), MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(A__FIRST(mark(x0), cons(nil, x2)), MARK(cons(nil, x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(s(x0), s(z0))) -> c6(MARK(s(z0)))
   A__FIRST(s(z0), cons(from(y0), z2)) -> c1(MARK(from(y0)))
   A__FIRST(s(z0), cons(s(y0), z2)) -> c1(MARK(s(y0)))
   A__FIRST(s(z0), cons(cons(y0, y1), z2)) -> c1(MARK(cons(y0, y1)))
   A__FIRST(s(z0), cons(first(y0, 0), z2)) -> c1(MARK(first(y0, 0)))
   A__FIRST(s(z0), cons(first(y0, nil), z2)) -> c1(MARK(first(y0, nil)))
   A__FIRST(s(z0), cons(first(y0, s(y1)), z2)) -> c1(MARK(first(y0, s(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), y2), z2)) -> c1(MARK(first(cons(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(0, y0), z2)) -> c1(MARK(first(0, y0)))
   A__FIRST(s(z0), cons(first(nil, y0), z2)) -> c1(MARK(first(nil, y0)))
   A__FIRST(s(z0), cons(first(y0, first(y1, first(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, from(y2))), z2)) -> c1(MARK(first(y0, first(y1, from(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, 0)), z2)) -> c1(MARK(first(y0, first(y1, 0))))
   A__FIRST(s(z0), cons(first(y0, first(y1, nil)), z2)) -> c1(MARK(first(y0, first(y1, nil))))
   A__FIRST(s(z0), cons(first(y0, first(y1, s(y2))), z2)) -> c1(MARK(first(y0, first(y1, s(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, cons(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, first(from(y1), y2)), z2)) -> c1(MARK(first(y0, first(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(0, y1)), z2)) -> c1(MARK(first(y0, first(0, y1))))
   A__FIRST(s(z0), cons(first(y0, first(nil, y1)), z2)) -> c1(MARK(first(y0, first(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, first(s(y1), y2)), z2)) -> c1(MARK(first(y0, first(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), first(y1, y2)), z2)) -> c1(MARK(first(from(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), first(y1, y2)), z2)) -> c1(MARK(first(s(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
S tuples:
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
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   A__FIRST(s(z0), cons(first(y0, first(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, first(from(y1), y2)), z2)) -> c1(MARK(first(y0, first(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(0, y1)), z2)) -> c1(MARK(first(y0, first(0, y1))))
   A__FIRST(s(z0), cons(first(y0, first(nil, y1)), z2)) -> c1(MARK(first(y0, first(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, first(s(y1), y2)), z2)) -> c1(MARK(first(y0, first(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), first(y1, y2)), z2)) -> c1(MARK(first(from(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), first(y1, y2)), z2)) -> c1(MARK(first(s(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__FIRST_2

Compound Symbols:   c3_1, c7_2, c10_1, c11_1, c5_1, c6_1, c5_2, c6_2, c1_1


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

(137) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)), MARK(from(0)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)), MARK(from(nil)))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)), MARK(from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)), MARK(from(nil)))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(s(x0), s(z0))) -> c6(MARK(s(z0)))
   A__FIRST(s(z0), cons(from(y0), z2)) -> c1(MARK(from(y0)))
   A__FIRST(s(z0), cons(s(y0), z2)) -> c1(MARK(s(y0)))
   A__FIRST(s(z0), cons(cons(y0, y1), z2)) -> c1(MARK(cons(y0, y1)))
   A__FIRST(s(z0), cons(first(y0, 0), z2)) -> c1(MARK(first(y0, 0)))
   A__FIRST(s(z0), cons(first(y0, nil), z2)) -> c1(MARK(first(y0, nil)))
   A__FIRST(s(z0), cons(first(y0, s(y1)), z2)) -> c1(MARK(first(y0, s(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), y2), z2)) -> c1(MARK(first(cons(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(0, y0), z2)) -> c1(MARK(first(0, y0)))
   A__FIRST(s(z0), cons(first(nil, y0), z2)) -> c1(MARK(first(nil, y0)))
   A__FIRST(s(z0), cons(first(y0, first(y1, first(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, from(y2))), z2)) -> c1(MARK(first(y0, first(y1, from(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, 0)), z2)) -> c1(MARK(first(y0, first(y1, 0))))
   A__FIRST(s(z0), cons(first(y0, first(y1, nil)), z2)) -> c1(MARK(first(y0, first(y1, nil))))
   A__FIRST(s(z0), cons(first(y0, first(y1, s(y2))), z2)) -> c1(MARK(first(y0, first(y1, s(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, cons(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, first(from(y1), y2)), z2)) -> c1(MARK(first(y0, first(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(0, y1)), z2)) -> c1(MARK(first(y0, first(0, y1))))
   A__FIRST(s(z0), cons(first(y0, first(nil, y1)), z2)) -> c1(MARK(first(y0, first(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, first(s(y1), y2)), z2)) -> c1(MARK(first(y0, first(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), first(y1, y2)), z2)) -> c1(MARK(first(from(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), first(y1, y2)), z2)) -> c1(MARK(first(s(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
S tuples:
   A__FROM(z0) -> c3(MARK(z0))
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
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   A__FIRST(s(z0), cons(first(y0, first(from(y1), y2)), z2)) -> c1(MARK(first(y0, first(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(0, y1)), z2)) -> c1(MARK(first(y0, first(0, y1))))
   A__FIRST(s(z0), cons(first(y0, first(nil, y1)), z2)) -> c1(MARK(first(y0, first(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, first(s(y1), y2)), z2)) -> c1(MARK(first(y0, first(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), first(y1, y2)), z2)) -> c1(MARK(first(from(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), first(y1, y2)), z2)) -> c1(MARK(first(s(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   A__FROM_1, MARK_1, A__FIRST_2

Compound Symbols:   c3_1, c7_2, c10_1, c11_1, c5_1, c6_1, c5_2, c6_2, c1_1


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

(139) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__FROM(z0) -> c3(MARK(z0)) by 
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))

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

(140)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
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   A__FIRST(s(z0), cons(first(from(y0), first(y1, y2)), z2)) -> c1(MARK(first(from(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), first(y1, y2)), z2)) -> c1(MARK(first(s(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
S tuples:
   MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0))
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
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   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c7_2, c10_1, c11_1, c5_1, c6_1, c5_2, c6_2, c1_1, c3_1


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

(141) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(from(z0)) -> c7(A__FROM(mark(z0)), MARK(z0)) by 
   MARK(from(first(z0, z1))) -> c7(A__FROM(a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(0)) -> c7(A__FROM(0), MARK(0))
   MARK(from(nil)) -> c7(A__FROM(nil), MARK(nil))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))

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

(142)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
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   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(first(z0, z1))) -> c7(A__FROM(a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(0)) -> c7(A__FROM(0), MARK(0))
   MARK(from(nil)) -> c7(A__FROM(nil), MARK(nil))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
S tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
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   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(first(z0, z1))) -> c7(A__FROM(a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(0)) -> c7(A__FROM(0), MARK(0))
   MARK(from(nil)) -> c7(A__FROM(nil), MARK(nil))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c10_1, c11_1, c5_1, c6_1, c5_2, c6_2, c1_1, c3_1, c7_2


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

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

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

(144)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
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   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(first(z0, z1))) -> c7(A__FROM(a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
S tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
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   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(first(z0, z1))) -> c7(A__FROM(a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c10_1, c11_1, c5_1, c6_1, c5_2, c6_2, c1_1, c3_1, c7_2


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

(145) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(146)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
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   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(first(z0, z1))) -> c7(A__FROM(a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)))
S tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
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   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(first(z0, z1))) -> c7(A__FROM(a__first(mark(z0), mark(z1))), MARK(first(z0, z1)))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c10_1, c11_1, c5_1, c6_1, c5_2, c6_2, c1_1, c3_1, c7_2


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

(147) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(from(first(z0, z1))) -> c7(A__FROM(a__first(mark(z0), mark(z1))), MARK(first(z0, z1))) by 
   MARK(from(first(x0, x1))) -> c7(A__FROM(first(mark(x0), mark(x1))), MARK(first(x0, x1)))
   MARK(from(first(x0, first(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), a__first(mark(z0), mark(z1)))), MARK(first(x0, first(z0, z1))))
   MARK(from(first(x0, from(z0)))) -> c7(A__FROM(a__first(mark(x0), a__from(mark(z0)))), MARK(first(x0, from(z0))))
   MARK(from(first(x0, 0))) -> c7(A__FROM(a__first(mark(x0), 0)), MARK(first(x0, 0)))
   MARK(from(first(x0, nil))) -> c7(A__FROM(a__first(mark(x0), nil)), MARK(first(x0, nil)))
   MARK(from(first(x0, s(z0)))) -> c7(A__FROM(a__first(mark(x0), s(mark(z0)))), MARK(first(x0, s(z0))))
   MARK(from(first(x0, cons(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), cons(mark(z0), z1))), MARK(first(x0, cons(z0, z1))))
   MARK(from(first(first(z0, z1), x1))) -> c7(A__FROM(a__first(a__first(mark(z0), mark(z1)), mark(x1))), MARK(first(first(z0, z1), x1)))
   MARK(from(first(from(z0), x1))) -> c7(A__FROM(a__first(a__from(mark(z0)), mark(x1))), MARK(first(from(z0), x1)))
   MARK(from(first(0, x1))) -> c7(A__FROM(a__first(0, mark(x1))), MARK(first(0, x1)))
   MARK(from(first(nil, x1))) -> c7(A__FROM(a__first(nil, mark(x1))), MARK(first(nil, x1)))
   MARK(from(first(s(z0), x1))) -> c7(A__FROM(a__first(s(mark(z0)), mark(x1))), MARK(first(s(z0), x1)))
   MARK(from(first(cons(z0, z1), x1))) -> c7(A__FROM(a__first(cons(mark(z0), z1), mark(x1))), MARK(first(cons(z0, z1), x1)))

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

(148)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
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   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)))
   MARK(from(first(x0, x1))) -> c7(A__FROM(first(mark(x0), mark(x1))), MARK(first(x0, x1)))
   MARK(from(first(x0, first(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), a__first(mark(z0), mark(z1)))), MARK(first(x0, first(z0, z1))))
   MARK(from(first(x0, from(z0)))) -> c7(A__FROM(a__first(mark(x0), a__from(mark(z0)))), MARK(first(x0, from(z0))))
   MARK(from(first(x0, 0))) -> c7(A__FROM(a__first(mark(x0), 0)), MARK(first(x0, 0)))
   MARK(from(first(x0, nil))) -> c7(A__FROM(a__first(mark(x0), nil)), MARK(first(x0, nil)))
   MARK(from(first(x0, s(z0)))) -> c7(A__FROM(a__first(mark(x0), s(mark(z0)))), MARK(first(x0, s(z0))))
   MARK(from(first(x0, cons(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), cons(mark(z0), z1))), MARK(first(x0, cons(z0, z1))))
   MARK(from(first(first(z0, z1), x1))) -> c7(A__FROM(a__first(a__first(mark(z0), mark(z1)), mark(x1))), MARK(first(first(z0, z1), x1)))
   MARK(from(first(from(z0), x1))) -> c7(A__FROM(a__first(a__from(mark(z0)), mark(x1))), MARK(first(from(z0), x1)))
   MARK(from(first(0, x1))) -> c7(A__FROM(a__first(0, mark(x1))), MARK(first(0, x1)))
   MARK(from(first(nil, x1))) -> c7(A__FROM(a__first(nil, mark(x1))), MARK(first(nil, x1)))
   MARK(from(first(s(z0), x1))) -> c7(A__FROM(a__first(s(mark(z0)), mark(x1))), MARK(first(s(z0), x1)))
   MARK(from(first(cons(z0, z1), x1))) -> c7(A__FROM(a__first(cons(mark(z0), z1), mark(x1))), MARK(first(cons(z0, z1), x1)))
S tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
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   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(from(z0))) -> c7(A__FROM(a__from(mark(z0))), MARK(from(z0)))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)))
   MARK(from(first(x0, x1))) -> c7(A__FROM(first(mark(x0), mark(x1))), MARK(first(x0, x1)))
   MARK(from(first(x0, first(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), a__first(mark(z0), mark(z1)))), MARK(first(x0, first(z0, z1))))
   MARK(from(first(x0, from(z0)))) -> c7(A__FROM(a__first(mark(x0), a__from(mark(z0)))), MARK(first(x0, from(z0))))
   MARK(from(first(x0, 0))) -> c7(A__FROM(a__first(mark(x0), 0)), MARK(first(x0, 0)))
   MARK(from(first(x0, nil))) -> c7(A__FROM(a__first(mark(x0), nil)), MARK(first(x0, nil)))
   MARK(from(first(x0, s(z0)))) -> c7(A__FROM(a__first(mark(x0), s(mark(z0)))), MARK(first(x0, s(z0))))
   MARK(from(first(x0, cons(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), cons(mark(z0), z1))), MARK(first(x0, cons(z0, z1))))
   MARK(from(first(first(z0, z1), x1))) -> c7(A__FROM(a__first(a__first(mark(z0), mark(z1)), mark(x1))), MARK(first(first(z0, z1), x1)))
   MARK(from(first(from(z0), x1))) -> c7(A__FROM(a__first(a__from(mark(z0)), mark(x1))), MARK(first(from(z0), x1)))
   MARK(from(first(0, x1))) -> c7(A__FROM(a__first(0, mark(x1))), MARK(first(0, x1)))
   MARK(from(first(nil, x1))) -> c7(A__FROM(a__first(nil, mark(x1))), MARK(first(nil, x1)))
   MARK(from(first(s(z0), x1))) -> c7(A__FROM(a__first(s(mark(z0)), mark(x1))), MARK(first(s(z0), x1)))
   MARK(from(first(cons(z0, z1), x1))) -> c7(A__FROM(a__first(cons(mark(z0), z1), mark(x1))), MARK(first(cons(z0, z1), x1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c10_1, c11_1, c5_1, c6_1, c5_2, c6_2, c1_1, c3_1, c7_2


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

(149) 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(first(z0, z1)))) -> c7(A__FROM(a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)), MARK(from(0)))
   MARK(from(from(nil))) -> c7(A__FROM(a__from(nil)), MARK(from(nil)))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))

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

(150)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
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   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)))
   MARK(from(first(x0, x1))) -> c7(A__FROM(first(mark(x0), mark(x1))), MARK(first(x0, x1)))
   MARK(from(first(x0, first(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), a__first(mark(z0), mark(z1)))), MARK(first(x0, first(z0, z1))))
   MARK(from(first(x0, from(z0)))) -> c7(A__FROM(a__first(mark(x0), a__from(mark(z0)))), MARK(first(x0, from(z0))))
   MARK(from(first(x0, 0))) -> c7(A__FROM(a__first(mark(x0), 0)), MARK(first(x0, 0)))
   MARK(from(first(x0, nil))) -> c7(A__FROM(a__first(mark(x0), nil)), MARK(first(x0, nil)))
   MARK(from(first(x0, s(z0)))) -> c7(A__FROM(a__first(mark(x0), s(mark(z0)))), MARK(first(x0, s(z0))))
   MARK(from(first(x0, cons(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), cons(mark(z0), z1))), MARK(first(x0, cons(z0, z1))))
   MARK(from(first(first(z0, z1), x1))) -> c7(A__FROM(a__first(a__first(mark(z0), mark(z1)), mark(x1))), MARK(first(first(z0, z1), x1)))
   MARK(from(first(from(z0), x1))) -> c7(A__FROM(a__first(a__from(mark(z0)), mark(x1))), MARK(first(from(z0), x1)))
   MARK(from(first(0, x1))) -> c7(A__FROM(a__first(0, mark(x1))), MARK(first(0, x1)))
   MARK(from(first(nil, x1))) -> c7(A__FROM(a__first(nil, mark(x1))), MARK(first(nil, x1)))
   MARK(from(first(s(z0), x1))) -> c7(A__FROM(a__first(s(mark(z0)), mark(x1))), MARK(first(s(z0), x1)))
   MARK(from(first(cons(z0, z1), x1))) -> c7(A__FROM(a__first(cons(mark(z0), z1), mark(x1))), MARK(first(cons(z0, z1), x1)))
   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(first(z0, z1)))) -> c7(A__FROM(a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)), MARK(from(0)))
   MARK(from(from(nil))) -> c7(A__FROM(a__from(nil)), MARK(from(nil)))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
S tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
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   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)))
   MARK(from(first(x0, x1))) -> c7(A__FROM(first(mark(x0), mark(x1))), MARK(first(x0, x1)))
   MARK(from(first(x0, first(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), a__first(mark(z0), mark(z1)))), MARK(first(x0, first(z0, z1))))
   MARK(from(first(x0, from(z0)))) -> c7(A__FROM(a__first(mark(x0), a__from(mark(z0)))), MARK(first(x0, from(z0))))
   MARK(from(first(x0, 0))) -> c7(A__FROM(a__first(mark(x0), 0)), MARK(first(x0, 0)))
   MARK(from(first(x0, nil))) -> c7(A__FROM(a__first(mark(x0), nil)), MARK(first(x0, nil)))
   MARK(from(first(x0, s(z0)))) -> c7(A__FROM(a__first(mark(x0), s(mark(z0)))), MARK(first(x0, s(z0))))
   MARK(from(first(x0, cons(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), cons(mark(z0), z1))), MARK(first(x0, cons(z0, z1))))
   MARK(from(first(first(z0, z1), x1))) -> c7(A__FROM(a__first(a__first(mark(z0), mark(z1)), mark(x1))), MARK(first(first(z0, z1), x1)))
   MARK(from(first(from(z0), x1))) -> c7(A__FROM(a__first(a__from(mark(z0)), mark(x1))), MARK(first(from(z0), x1)))
   MARK(from(first(0, x1))) -> c7(A__FROM(a__first(0, mark(x1))), MARK(first(0, x1)))
   MARK(from(first(nil, x1))) -> c7(A__FROM(a__first(nil, mark(x1))), MARK(first(nil, x1)))
   MARK(from(first(s(z0), x1))) -> c7(A__FROM(a__first(s(mark(z0)), mark(x1))), MARK(first(s(z0), x1)))
   MARK(from(first(cons(z0, z1), x1))) -> c7(A__FROM(a__first(cons(mark(z0), z1), mark(x1))), MARK(first(cons(z0, z1), x1)))
   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(first(z0, z1)))) -> c7(A__FROM(a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)), MARK(from(0)))
   MARK(from(from(nil))) -> c7(A__FROM(a__from(nil)), MARK(from(nil)))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c10_1, c11_1, c5_1, c6_1, c5_2, c6_2, c1_1, c3_1, c7_2


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

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

(152)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
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   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)))
   MARK(from(first(x0, x1))) -> c7(A__FROM(first(mark(x0), mark(x1))), MARK(first(x0, x1)))
   MARK(from(first(x0, first(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), a__first(mark(z0), mark(z1)))), MARK(first(x0, first(z0, z1))))
   MARK(from(first(x0, from(z0)))) -> c7(A__FROM(a__first(mark(x0), a__from(mark(z0)))), MARK(first(x0, from(z0))))
   MARK(from(first(x0, 0))) -> c7(A__FROM(a__first(mark(x0), 0)), MARK(first(x0, 0)))
   MARK(from(first(x0, nil))) -> c7(A__FROM(a__first(mark(x0), nil)), MARK(first(x0, nil)))
   MARK(from(first(x0, s(z0)))) -> c7(A__FROM(a__first(mark(x0), s(mark(z0)))), MARK(first(x0, s(z0))))
   MARK(from(first(x0, cons(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), cons(mark(z0), z1))), MARK(first(x0, cons(z0, z1))))
   MARK(from(first(first(z0, z1), x1))) -> c7(A__FROM(a__first(a__first(mark(z0), mark(z1)), mark(x1))), MARK(first(first(z0, z1), x1)))
   MARK(from(first(from(z0), x1))) -> c7(A__FROM(a__first(a__from(mark(z0)), mark(x1))), MARK(first(from(z0), x1)))
   MARK(from(first(0, x1))) -> c7(A__FROM(a__first(0, mark(x1))), MARK(first(0, x1)))
   MARK(from(first(nil, x1))) -> c7(A__FROM(a__first(nil, mark(x1))), MARK(first(nil, x1)))
   MARK(from(first(s(z0), x1))) -> c7(A__FROM(a__first(s(mark(z0)), mark(x1))), MARK(first(s(z0), x1)))
   MARK(from(first(cons(z0, z1), x1))) -> c7(A__FROM(a__first(cons(mark(z0), z1), mark(x1))), MARK(first(cons(z0, z1), x1)))
   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(first(z0, z1)))) -> c7(A__FROM(a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(from(nil))) -> c7(A__FROM(a__from(nil)))
S tuples:
   MARK(s(z0)) -> c10(MARK(z0))
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
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   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)))
   MARK(from(first(x0, x1))) -> c7(A__FROM(first(mark(x0), mark(x1))), MARK(first(x0, x1)))
   MARK(from(first(x0, first(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), a__first(mark(z0), mark(z1)))), MARK(first(x0, first(z0, z1))))
   MARK(from(first(x0, from(z0)))) -> c7(A__FROM(a__first(mark(x0), a__from(mark(z0)))), MARK(first(x0, from(z0))))
   MARK(from(first(x0, 0))) -> c7(A__FROM(a__first(mark(x0), 0)), MARK(first(x0, 0)))
   MARK(from(first(x0, nil))) -> c7(A__FROM(a__first(mark(x0), nil)), MARK(first(x0, nil)))
   MARK(from(first(x0, s(z0)))) -> c7(A__FROM(a__first(mark(x0), s(mark(z0)))), MARK(first(x0, s(z0))))
   MARK(from(first(x0, cons(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), cons(mark(z0), z1))), MARK(first(x0, cons(z0, z1))))
   MARK(from(first(first(z0, z1), x1))) -> c7(A__FROM(a__first(a__first(mark(z0), mark(z1)), mark(x1))), MARK(first(first(z0, z1), x1)))
   MARK(from(first(from(z0), x1))) -> c7(A__FROM(a__first(a__from(mark(z0)), mark(x1))), MARK(first(from(z0), x1)))
   MARK(from(first(0, x1))) -> c7(A__FROM(a__first(0, mark(x1))), MARK(first(0, x1)))
   MARK(from(first(nil, x1))) -> c7(A__FROM(a__first(nil, mark(x1))), MARK(first(nil, x1)))
   MARK(from(first(s(z0), x1))) -> c7(A__FROM(a__first(s(mark(z0)), mark(x1))), MARK(first(s(z0), x1)))
   MARK(from(first(cons(z0, z1), x1))) -> c7(A__FROM(a__first(cons(mark(z0), z1), mark(x1))), MARK(first(cons(z0, z1), x1)))
   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(first(z0, z1)))) -> c7(A__FROM(a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(from(nil))) -> c7(A__FROM(a__from(nil)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c10_1, c11_1, c5_1, c6_1, c5_2, c6_2, c1_1, c3_1, c7_2, c7_1


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

(153) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(s(z0)) -> c10(MARK(z0)) by 
   MARK(s(s(y0))) -> c10(MARK(s(y0)))
   MARK(s(cons(y0, y1))) -> c10(MARK(cons(y0, y1)))
   MARK(s(first(y0, 0))) -> c10(MARK(first(y0, 0)))
   MARK(s(first(y0, nil))) -> c10(MARK(first(y0, nil)))
   MARK(s(first(y0, s(y1)))) -> c10(MARK(first(y0, s(y1))))
   MARK(s(first(cons(y0, y1), y2))) -> c10(MARK(first(cons(y0, y1), y2)))
   MARK(s(first(0, y0))) -> c10(MARK(first(0, y0)))
   MARK(s(first(nil, y0))) -> c10(MARK(first(nil, y0)))
   MARK(s(first(y0, first(y1, first(y2, y3))))) -> c10(MARK(first(y0, first(y1, first(y2, y3)))))
   MARK(s(first(y0, first(y1, from(y2))))) -> c10(MARK(first(y0, first(y1, from(y2)))))
   MARK(s(first(y0, first(y1, 0)))) -> c10(MARK(first(y0, first(y1, 0))))
   MARK(s(first(y0, first(y1, nil)))) -> c10(MARK(first(y0, first(y1, nil))))
   MARK(s(first(y0, first(y1, s(y2))))) -> c10(MARK(first(y0, first(y1, s(y2)))))
   MARK(s(first(y0, first(y1, cons(y2, y3))))) -> c10(MARK(first(y0, first(y1, cons(y2, y3)))))
   MARK(s(first(y0, first(first(y1, y2), y3)))) -> c10(MARK(first(y0, first(first(y1, y2), y3))))
   MARK(s(first(y0, first(from(y1), y2)))) -> c10(MARK(first(y0, first(from(y1), y2))))
   MARK(s(first(y0, first(0, y1)))) -> c10(MARK(first(y0, first(0, y1))))
   MARK(s(first(y0, first(nil, y1)))) -> c10(MARK(first(y0, first(nil, y1))))
   MARK(s(first(y0, first(s(y1), y2)))) -> c10(MARK(first(y0, first(s(y1), y2))))
   MARK(s(first(y0, first(cons(y1, y2), y3)))) -> c10(MARK(first(y0, first(cons(y1, y2), y3))))
   MARK(s(first(first(y0, y1), first(y2, y3)))) -> c10(MARK(first(first(y0, y1), first(y2, y3))))
   MARK(s(first(from(y0), first(y1, y2)))) -> c10(MARK(first(from(y0), first(y1, y2))))
   MARK(s(first(s(y0), first(y1, y2)))) -> c10(MARK(first(s(y0), first(y1, y2))))
   MARK(s(first(y0, first(y1, y2)))) -> c10(MARK(first(y0, first(y1, y2))))
   MARK(s(first(cons(y0, y1), first(y2, y3)))) -> c10(MARK(first(cons(y0, y1), first(y2, y3))))
   MARK(s(first(y0, from(y1)))) -> c10(MARK(first(y0, from(y1))))
   MARK(s(first(y0, from(first(y1, y2))))) -> c10(MARK(first(y0, from(first(y1, y2)))))
   MARK(s(first(y0, from(from(y1))))) -> c10(MARK(first(y0, from(from(y1)))))
   MARK(s(first(y0, from(0)))) -> c10(MARK(first(y0, from(0))))
   MARK(s(first(y0, from(nil)))) -> c10(MARK(first(y0, from(nil))))
   MARK(s(first(y0, from(s(y1))))) -> c10(MARK(first(y0, from(s(y1)))))
   MARK(s(first(y0, from(cons(y1, y2))))) -> c10(MARK(first(y0, from(cons(y1, y2)))))
   MARK(s(first(first(y0, y1), from(y2)))) -> c10(MARK(first(first(y0, y1), from(y2))))
   MARK(s(first(from(y0), from(y1)))) -> c10(MARK(first(from(y0), from(y1))))
   MARK(s(first(s(y0), from(y1)))) -> c10(MARK(first(s(y0), from(y1))))
   MARK(s(first(cons(y0, y1), from(y2)))) -> c10(MARK(first(cons(y0, y1), from(y2))))
   MARK(s(first(y0, cons(first(y1, y2), y3)))) -> c10(MARK(first(y0, cons(first(y1, y2), y3))))
   MARK(s(first(y0, cons(from(y1), y2)))) -> c10(MARK(first(y0, cons(from(y1), y2))))
   MARK(s(first(y0, cons(s(y1), y2)))) -> c10(MARK(first(y0, cons(s(y1), y2))))
   MARK(s(first(y0, cons(cons(y1, y2), y3)))) -> c10(MARK(first(y0, cons(cons(y1, y2), y3))))
   MARK(s(first(first(y0, y1), cons(y2, y3)))) -> c10(MARK(first(first(y0, y1), cons(y2, y3))))
   MARK(s(first(from(y0), cons(y1, y2)))) -> c10(MARK(first(from(y0), cons(y1, y2))))
   MARK(s(first(s(y0), cons(y1, y2)))) -> c10(MARK(first(s(y0), cons(y1, y2))))
   MARK(s(first(cons(y0, y1), cons(y2, y3)))) -> c10(MARK(first(cons(y0, y1), cons(y2, y3))))
   MARK(s(first(first(y0, first(y1, y2)), y3))) -> c10(MARK(first(first(y0, first(y1, y2)), y3)))
   MARK(s(first(first(y0, from(y1)), y2))) -> c10(MARK(first(first(y0, from(y1)), y2)))
   MARK(s(first(first(y0, 0), y1))) -> c10(MARK(first(first(y0, 0), y1)))
   MARK(s(first(first(y0, nil), y1))) -> c10(MARK(first(first(y0, nil), y1)))
   MARK(s(first(first(y0, s(y1)), y2))) -> c10(MARK(first(first(y0, s(y1)), y2)))
   MARK(s(first(first(y0, cons(y1, y2)), y3))) -> c10(MARK(first(first(y0, cons(y1, y2)), y3)))
   MARK(s(first(first(first(y0, y1), y2), y3))) -> c10(MARK(first(first(first(y0, y1), y2), y3)))
   MARK(s(first(first(from(y0), y1), y2))) -> c10(MARK(first(first(from(y0), y1), y2)))
   MARK(s(first(first(0, y0), y1))) -> c10(MARK(first(first(0, y0), y1)))
   MARK(s(first(first(nil, y0), y1))) -> c10(MARK(first(first(nil, y0), y1)))
   MARK(s(first(first(s(y0), y1), y2))) -> c10(MARK(first(first(s(y0), y1), y2)))
   MARK(s(first(first(cons(y0, y1), y2), y3))) -> c10(MARK(first(first(cons(y0, y1), y2), y3)))
   MARK(s(first(first(y0, y1), 0))) -> c10(MARK(first(first(y0, y1), 0)))
   MARK(s(first(first(y0, y1), nil))) -> c10(MARK(first(first(y0, y1), nil)))
   MARK(s(first(first(y0, y1), s(y2)))) -> c10(MARK(first(first(y0, y1), s(y2))))
   MARK(s(first(first(y0, y1), y2))) -> c10(MARK(first(first(y0, y1), y2)))
   MARK(s(first(from(first(y0, y1)), y2))) -> c10(MARK(first(from(first(y0, y1)), y2)))
   MARK(s(first(from(from(y0)), y1))) -> c10(MARK(first(from(from(y0)), y1)))
   MARK(s(first(from(s(y0)), y1))) -> c10(MARK(first(from(s(y0)), y1)))
   MARK(s(first(from(cons(y0, y1)), y2))) -> c10(MARK(first(from(cons(y0, y1)), y2)))
   MARK(s(first(from(y0), y1))) -> c10(MARK(first(from(y0), y1)))
   MARK(s(first(from(y0), 0))) -> c10(MARK(first(from(y0), 0)))
   MARK(s(first(from(y0), nil))) -> c10(MARK(first(from(y0), nil)))
   MARK(s(first(from(y0), s(y1)))) -> c10(MARK(first(from(y0), s(y1))))
   MARK(s(first(s(first(y0, y1)), y2))) -> c10(MARK(first(s(first(y0, y1)), y2)))
   MARK(s(first(s(from(y0)), y1))) -> c10(MARK(first(s(from(y0)), y1)))
   MARK(s(first(s(0), y0))) -> c10(MARK(first(s(0), y0)))
   MARK(s(first(s(nil), y0))) -> c10(MARK(first(s(nil), y0)))
   MARK(s(first(s(s(y0)), y1))) -> c10(MARK(first(s(s(y0)), y1)))
   MARK(s(first(s(cons(y0, y1)), y2))) -> c10(MARK(first(s(cons(y0, y1)), y2)))
   MARK(s(first(s(y0), y1))) -> c10(MARK(first(s(y0), y1)))
   MARK(s(first(s(y0), 0))) -> c10(MARK(first(s(y0), 0)))
   MARK(s(first(s(y0), nil))) -> c10(MARK(first(s(y0), nil)))
   MARK(s(first(s(y0), s(y1)))) -> c10(MARK(first(s(y0), s(y1))))
   MARK(s(first(0, first(y0, y1)))) -> c10(MARK(first(0, first(y0, y1))))
   MARK(s(first(nil, first(y0, y1)))) -> c10(MARK(first(nil, first(y0, y1))))
   MARK(s(first(0, from(y0)))) -> c10(MARK(first(0, from(y0))))
   MARK(s(first(nil, from(y0)))) -> c10(MARK(first(nil, from(y0))))
   MARK(s(first(y0, cons(y1, y2)))) -> c10(MARK(first(y0, cons(y1, y2))))
   MARK(s(first(0, cons(y0, y1)))) -> c10(MARK(first(0, cons(y0, y1))))
   MARK(s(first(nil, cons(y0, y1)))) -> c10(MARK(first(nil, cons(y0, y1))))
   MARK(s(first(from(0), y0))) -> c10(MARK(first(from(0), y0)))
   MARK(s(first(from(nil), y0))) -> c10(MARK(first(from(nil), y0)))
   MARK(s(first(y0, cons(0, y1)))) -> c10(MARK(first(y0, cons(0, y1))))
   MARK(s(first(y0, cons(nil, y1)))) -> c10(MARK(first(y0, cons(nil, y1))))
   MARK(s(from(s(y0)))) -> c10(MARK(from(s(y0))))
   MARK(s(from(cons(y0, y1)))) -> c10(MARK(from(cons(y0, y1))))
   MARK(s(from(first(y0, y1)))) -> c10(MARK(from(first(y0, y1))))
   MARK(s(from(first(y0, first(y1, y2))))) -> c10(MARK(from(first(y0, first(y1, y2)))))
   MARK(s(from(first(y0, from(y1))))) -> c10(MARK(from(first(y0, from(y1)))))
   MARK(s(from(first(y0, 0)))) -> c10(MARK(from(first(y0, 0))))
   MARK(s(from(first(y0, nil)))) -> c10(MARK(from(first(y0, nil))))
   MARK(s(from(first(y0, s(y1))))) -> c10(MARK(from(first(y0, s(y1)))))
   MARK(s(from(first(y0, cons(y1, y2))))) -> c10(MARK(from(first(y0, cons(y1, y2)))))
   MARK(s(from(first(first(y0, y1), y2)))) -> c10(MARK(from(first(first(y0, y1), y2))))
   MARK(s(from(first(from(y0), y1)))) -> c10(MARK(from(first(from(y0), y1))))
   MARK(s(from(first(0, y0)))) -> c10(MARK(from(first(0, y0))))
   MARK(s(from(first(nil, y0)))) -> c10(MARK(from(first(nil, y0))))
   MARK(s(from(first(s(y0), y1)))) -> c10(MARK(from(first(s(y0), y1))))
   MARK(s(from(first(cons(y0, y1), y2)))) -> c10(MARK(from(first(cons(y0, y1), y2))))
   MARK(s(from(from(y0)))) -> c10(MARK(from(from(y0))))
   MARK(s(from(from(first(y0, y1))))) -> c10(MARK(from(from(first(y0, y1)))))
   MARK(s(from(from(from(y0))))) -> c10(MARK(from(from(from(y0)))))
   MARK(s(from(from(s(y0))))) -> c10(MARK(from(from(s(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(0)))) -> c10(MARK(from(from(0))))
   MARK(s(from(from(nil)))) -> c10(MARK(from(from(nil))))

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

(154)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
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   MARK(s(first(nil, from(y0)))) -> c10(MARK(first(nil, from(y0))))
   MARK(s(first(y0, cons(y1, y2)))) -> c10(MARK(first(y0, cons(y1, y2))))
   MARK(s(first(0, cons(y0, y1)))) -> c10(MARK(first(0, cons(y0, y1))))
   MARK(s(first(nil, cons(y0, y1)))) -> c10(MARK(first(nil, cons(y0, y1))))
   MARK(s(first(from(0), y0))) -> c10(MARK(first(from(0), y0)))
   MARK(s(first(from(nil), y0))) -> c10(MARK(first(from(nil), y0)))
   MARK(s(first(y0, cons(0, y1)))) -> c10(MARK(first(y0, cons(0, y1))))
   MARK(s(first(y0, cons(nil, y1)))) -> c10(MARK(first(y0, cons(nil, y1))))
   MARK(s(from(s(y0)))) -> c10(MARK(from(s(y0))))
   MARK(s(from(cons(y0, y1)))) -> c10(MARK(from(cons(y0, y1))))
   MARK(s(from(first(y0, y1)))) -> c10(MARK(from(first(y0, y1))))
   MARK(s(from(first(y0, first(y1, y2))))) -> c10(MARK(from(first(y0, first(y1, y2)))))
   MARK(s(from(first(y0, from(y1))))) -> c10(MARK(from(first(y0, from(y1)))))
   MARK(s(from(first(y0, 0)))) -> c10(MARK(from(first(y0, 0))))
   MARK(s(from(first(y0, nil)))) -> c10(MARK(from(first(y0, nil))))
   MARK(s(from(first(y0, s(y1))))) -> c10(MARK(from(first(y0, s(y1)))))
   MARK(s(from(first(y0, cons(y1, y2))))) -> c10(MARK(from(first(y0, cons(y1, y2)))))
   MARK(s(from(first(first(y0, y1), y2)))) -> c10(MARK(from(first(first(y0, y1), y2))))
   MARK(s(from(first(from(y0), y1)))) -> c10(MARK(from(first(from(y0), y1))))
   MARK(s(from(first(0, y0)))) -> c10(MARK(from(first(0, y0))))
   MARK(s(from(first(nil, y0)))) -> c10(MARK(from(first(nil, y0))))
   MARK(s(from(first(s(y0), y1)))) -> c10(MARK(from(first(s(y0), y1))))
   MARK(s(from(first(cons(y0, y1), y2)))) -> c10(MARK(from(first(cons(y0, y1), y2))))
   MARK(s(from(from(y0)))) -> c10(MARK(from(from(y0))))
   MARK(s(from(from(first(y0, y1))))) -> c10(MARK(from(from(first(y0, y1)))))
   MARK(s(from(from(from(y0))))) -> c10(MARK(from(from(from(y0)))))
   MARK(s(from(from(s(y0))))) -> c10(MARK(from(from(s(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(0)))) -> c10(MARK(from(from(0))))
   MARK(s(from(from(nil)))) -> c10(MARK(from(from(nil))))
S tuples:
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)), MARK(s(0)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)), MARK(s(nil)))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(s(x0), s(z0))) -> c6(MARK(s(z0)))
   A__FIRST(s(z0), cons(from(y0), z2)) -> c1(MARK(from(y0)))
   A__FIRST(s(z0), cons(s(y0), z2)) -> c1(MARK(s(y0)))
   A__FIRST(s(z0), cons(cons(y0, y1), z2)) -> c1(MARK(cons(y0, y1)))
   A__FIRST(s(z0), cons(first(y0, 0), z2)) -> c1(MARK(first(y0, 0)))
   A__FIRST(s(z0), cons(first(y0, nil), z2)) -> c1(MARK(first(y0, nil)))
   A__FIRST(s(z0), cons(first(y0, s(y1)), z2)) -> c1(MARK(first(y0, s(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), y2), z2)) -> c1(MARK(first(cons(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(0, y0), z2)) -> c1(MARK(first(0, y0)))
   A__FIRST(s(z0), cons(first(nil, y0), z2)) -> c1(MARK(first(nil, y0)))
   A__FIRST(s(z0), cons(first(y0, first(y1, first(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, from(y2))), z2)) -> c1(MARK(first(y0, first(y1, from(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, 0)), z2)) -> c1(MARK(first(y0, first(y1, 0))))
   A__FIRST(s(z0), cons(first(y0, first(y1, nil)), z2)) -> c1(MARK(first(y0, first(y1, nil))))
   A__FIRST(s(z0), cons(first(y0, first(y1, s(y2))), z2)) -> c1(MARK(first(y0, first(y1, s(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, cons(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, first(from(y1), y2)), z2)) -> c1(MARK(first(y0, first(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(0, y1)), z2)) -> c1(MARK(first(y0, first(0, y1))))
   A__FIRST(s(z0), cons(first(y0, first(nil, y1)), z2)) -> c1(MARK(first(y0, first(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, first(s(y1), y2)), z2)) -> c1(MARK(first(y0, first(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), first(y1, y2)), z2)) -> c1(MARK(first(from(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), first(y1, y2)), z2)) -> c1(MARK(first(s(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)))
   MARK(from(first(x0, x1))) -> c7(A__FROM(first(mark(x0), mark(x1))), MARK(first(x0, x1)))
   MARK(from(first(x0, first(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), a__first(mark(z0), mark(z1)))), MARK(first(x0, first(z0, z1))))
   MARK(from(first(x0, from(z0)))) -> c7(A__FROM(a__first(mark(x0), a__from(mark(z0)))), MARK(first(x0, from(z0))))
   MARK(from(first(x0, 0))) -> c7(A__FROM(a__first(mark(x0), 0)), MARK(first(x0, 0)))
   MARK(from(first(x0, nil))) -> c7(A__FROM(a__first(mark(x0), nil)), MARK(first(x0, nil)))
   MARK(from(first(x0, s(z0)))) -> c7(A__FROM(a__first(mark(x0), s(mark(z0)))), MARK(first(x0, s(z0))))
   MARK(from(first(x0, cons(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), cons(mark(z0), z1))), MARK(first(x0, cons(z0, z1))))
   MARK(from(first(first(z0, z1), x1))) -> c7(A__FROM(a__first(a__first(mark(z0), mark(z1)), mark(x1))), MARK(first(first(z0, z1), x1)))
   MARK(from(first(from(z0), x1))) -> c7(A__FROM(a__first(a__from(mark(z0)), mark(x1))), MARK(first(from(z0), x1)))
   MARK(from(first(0, x1))) -> c7(A__FROM(a__first(0, mark(x1))), MARK(first(0, x1)))
   MARK(from(first(nil, x1))) -> c7(A__FROM(a__first(nil, mark(x1))), MARK(first(nil, x1)))
   MARK(from(first(s(z0), x1))) -> c7(A__FROM(a__first(s(mark(z0)), mark(x1))), MARK(first(s(z0), x1)))
   MARK(from(first(cons(z0, z1), x1))) -> c7(A__FROM(a__first(cons(mark(z0), z1), mark(x1))), MARK(first(cons(z0, z1), x1)))
   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(first(z0, z1)))) -> c7(A__FROM(a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(from(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(s(s(y0))) -> c10(MARK(s(y0)))
   MARK(s(cons(y0, y1))) -> c10(MARK(cons(y0, y1)))
   MARK(s(first(y0, 0))) -> c10(MARK(first(y0, 0)))
   MARK(s(first(y0, nil))) -> c10(MARK(first(y0, nil)))
   MARK(s(first(y0, s(y1)))) -> c10(MARK(first(y0, s(y1))))
   MARK(s(first(cons(y0, y1), y2))) -> c10(MARK(first(cons(y0, y1), y2)))
   MARK(s(first(0, y0))) -> c10(MARK(first(0, y0)))
   MARK(s(first(nil, y0))) -> c10(MARK(first(nil, y0)))
   MARK(s(first(y0, first(y1, first(y2, y3))))) -> c10(MARK(first(y0, first(y1, first(y2, y3)))))
   MARK(s(first(y0, first(y1, from(y2))))) -> c10(MARK(first(y0, first(y1, from(y2)))))
   MARK(s(first(y0, first(y1, 0)))) -> c10(MARK(first(y0, first(y1, 0))))
   MARK(s(first(y0, first(y1, nil)))) -> c10(MARK(first(y0, first(y1, nil))))
   MARK(s(first(y0, first(y1, s(y2))))) -> c10(MARK(first(y0, first(y1, s(y2)))))
   MARK(s(first(y0, first(y1, cons(y2, y3))))) -> c10(MARK(first(y0, first(y1, cons(y2, y3)))))
   MARK(s(first(y0, first(first(y1, y2), y3)))) -> c10(MARK(first(y0, first(first(y1, y2), y3))))
   MARK(s(first(y0, first(from(y1), y2)))) -> c10(MARK(first(y0, first(from(y1), y2))))
   MARK(s(first(y0, first(0, y1)))) -> c10(MARK(first(y0, first(0, y1))))
   MARK(s(first(y0, first(nil, y1)))) -> c10(MARK(first(y0, first(nil, y1))))
   MARK(s(first(y0, first(s(y1), y2)))) -> c10(MARK(first(y0, first(s(y1), y2))))
   MARK(s(first(y0, first(cons(y1, y2), y3)))) -> c10(MARK(first(y0, first(cons(y1, y2), y3))))
   MARK(s(first(first(y0, y1), first(y2, y3)))) -> c10(MARK(first(first(y0, y1), first(y2, y3))))
   MARK(s(first(from(y0), first(y1, y2)))) -> c10(MARK(first(from(y0), first(y1, y2))))
   MARK(s(first(s(y0), first(y1, y2)))) -> c10(MARK(first(s(y0), first(y1, y2))))
   MARK(s(first(y0, first(y1, y2)))) -> c10(MARK(first(y0, first(y1, y2))))
   MARK(s(first(cons(y0, y1), first(y2, y3)))) -> c10(MARK(first(cons(y0, y1), first(y2, y3))))
   MARK(s(first(y0, from(y1)))) -> c10(MARK(first(y0, from(y1))))
   MARK(s(first(y0, from(first(y1, y2))))) -> c10(MARK(first(y0, from(first(y1, y2)))))
   MARK(s(first(y0, from(from(y1))))) -> c10(MARK(first(y0, from(from(y1)))))
   MARK(s(first(y0, from(0)))) -> c10(MARK(first(y0, from(0))))
   MARK(s(first(y0, from(nil)))) -> c10(MARK(first(y0, from(nil))))
   MARK(s(first(y0, from(s(y1))))) -> c10(MARK(first(y0, from(s(y1)))))
   MARK(s(first(y0, from(cons(y1, y2))))) -> c10(MARK(first(y0, from(cons(y1, y2)))))
   MARK(s(first(first(y0, y1), from(y2)))) -> c10(MARK(first(first(y0, y1), from(y2))))
   MARK(s(first(from(y0), from(y1)))) -> c10(MARK(first(from(y0), from(y1))))
   MARK(s(first(s(y0), from(y1)))) -> c10(MARK(first(s(y0), from(y1))))
   MARK(s(first(cons(y0, y1), from(y2)))) -> c10(MARK(first(cons(y0, y1), from(y2))))
   MARK(s(first(y0, cons(first(y1, y2), y3)))) -> c10(MARK(first(y0, cons(first(y1, y2), y3))))
   MARK(s(first(y0, cons(from(y1), y2)))) -> c10(MARK(first(y0, cons(from(y1), y2))))
   MARK(s(first(y0, cons(s(y1), y2)))) -> c10(MARK(first(y0, cons(s(y1), y2))))
   MARK(s(first(y0, cons(cons(y1, y2), y3)))) -> c10(MARK(first(y0, cons(cons(y1, y2), y3))))
   MARK(s(first(first(y0, y1), cons(y2, y3)))) -> c10(MARK(first(first(y0, y1), cons(y2, y3))))
   MARK(s(first(from(y0), cons(y1, y2)))) -> c10(MARK(first(from(y0), cons(y1, y2))))
   MARK(s(first(s(y0), cons(y1, y2)))) -> c10(MARK(first(s(y0), cons(y1, y2))))
   MARK(s(first(cons(y0, y1), cons(y2, y3)))) -> c10(MARK(first(cons(y0, y1), cons(y2, y3))))
   MARK(s(first(first(y0, first(y1, y2)), y3))) -> c10(MARK(first(first(y0, first(y1, y2)), y3)))
   MARK(s(first(first(y0, from(y1)), y2))) -> c10(MARK(first(first(y0, from(y1)), y2)))
   MARK(s(first(first(y0, 0), y1))) -> c10(MARK(first(first(y0, 0), y1)))
   MARK(s(first(first(y0, nil), y1))) -> c10(MARK(first(first(y0, nil), y1)))
   MARK(s(first(first(y0, s(y1)), y2))) -> c10(MARK(first(first(y0, s(y1)), y2)))
   MARK(s(first(first(y0, cons(y1, y2)), y3))) -> c10(MARK(first(first(y0, cons(y1, y2)), y3)))
   MARK(s(first(first(first(y0, y1), y2), y3))) -> c10(MARK(first(first(first(y0, y1), y2), y3)))
   MARK(s(first(first(from(y0), y1), y2))) -> c10(MARK(first(first(from(y0), y1), y2)))
   MARK(s(first(first(0, y0), y1))) -> c10(MARK(first(first(0, y0), y1)))
   MARK(s(first(first(nil, y0), y1))) -> c10(MARK(first(first(nil, y0), y1)))
   MARK(s(first(first(s(y0), y1), y2))) -> c10(MARK(first(first(s(y0), y1), y2)))
   MARK(s(first(first(cons(y0, y1), y2), y3))) -> c10(MARK(first(first(cons(y0, y1), y2), y3)))
   MARK(s(first(first(y0, y1), 0))) -> c10(MARK(first(first(y0, y1), 0)))
   MARK(s(first(first(y0, y1), nil))) -> c10(MARK(first(first(y0, y1), nil)))
   MARK(s(first(first(y0, y1), s(y2)))) -> c10(MARK(first(first(y0, y1), s(y2))))
   MARK(s(first(first(y0, y1), y2))) -> c10(MARK(first(first(y0, y1), y2)))
   MARK(s(first(from(first(y0, y1)), y2))) -> c10(MARK(first(from(first(y0, y1)), y2)))
   MARK(s(first(from(from(y0)), y1))) -> c10(MARK(first(from(from(y0)), y1)))
   MARK(s(first(from(s(y0)), y1))) -> c10(MARK(first(from(s(y0)), y1)))
   MARK(s(first(from(cons(y0, y1)), y2))) -> c10(MARK(first(from(cons(y0, y1)), y2)))
   MARK(s(first(from(y0), y1))) -> c10(MARK(first(from(y0), y1)))
   MARK(s(first(from(y0), 0))) -> c10(MARK(first(from(y0), 0)))
   MARK(s(first(from(y0), nil))) -> c10(MARK(first(from(y0), nil)))
   MARK(s(first(from(y0), s(y1)))) -> c10(MARK(first(from(y0), s(y1))))
   MARK(s(first(s(first(y0, y1)), y2))) -> c10(MARK(first(s(first(y0, y1)), y2)))
   MARK(s(first(s(from(y0)), y1))) -> c10(MARK(first(s(from(y0)), y1)))
   MARK(s(first(s(0), y0))) -> c10(MARK(first(s(0), y0)))
   MARK(s(first(s(nil), y0))) -> c10(MARK(first(s(nil), y0)))
   MARK(s(first(s(s(y0)), y1))) -> c10(MARK(first(s(s(y0)), y1)))
   MARK(s(first(s(cons(y0, y1)), y2))) -> c10(MARK(first(s(cons(y0, y1)), y2)))
   MARK(s(first(s(y0), y1))) -> c10(MARK(first(s(y0), y1)))
   MARK(s(first(s(y0), 0))) -> c10(MARK(first(s(y0), 0)))
   MARK(s(first(s(y0), nil))) -> c10(MARK(first(s(y0), nil)))
   MARK(s(first(s(y0), s(y1)))) -> c10(MARK(first(s(y0), s(y1))))
   MARK(s(first(0, first(y0, y1)))) -> c10(MARK(first(0, first(y0, y1))))
   MARK(s(first(nil, first(y0, y1)))) -> c10(MARK(first(nil, first(y0, y1))))
   MARK(s(first(0, from(y0)))) -> c10(MARK(first(0, from(y0))))
   MARK(s(first(nil, from(y0)))) -> c10(MARK(first(nil, from(y0))))
   MARK(s(first(y0, cons(y1, y2)))) -> c10(MARK(first(y0, cons(y1, y2))))
   MARK(s(first(0, cons(y0, y1)))) -> c10(MARK(first(0, cons(y0, y1))))
   MARK(s(first(nil, cons(y0, y1)))) -> c10(MARK(first(nil, cons(y0, y1))))
   MARK(s(first(from(0), y0))) -> c10(MARK(first(from(0), y0)))
   MARK(s(first(from(nil), y0))) -> c10(MARK(first(from(nil), y0)))
   MARK(s(first(y0, cons(0, y1)))) -> c10(MARK(first(y0, cons(0, y1))))
   MARK(s(first(y0, cons(nil, y1)))) -> c10(MARK(first(y0, cons(nil, y1))))
   MARK(s(from(s(y0)))) -> c10(MARK(from(s(y0))))
   MARK(s(from(cons(y0, y1)))) -> c10(MARK(from(cons(y0, y1))))
   MARK(s(from(first(y0, y1)))) -> c10(MARK(from(first(y0, y1))))
   MARK(s(from(first(y0, first(y1, y2))))) -> c10(MARK(from(first(y0, first(y1, y2)))))
   MARK(s(from(first(y0, from(y1))))) -> c10(MARK(from(first(y0, from(y1)))))
   MARK(s(from(first(y0, 0)))) -> c10(MARK(from(first(y0, 0))))
   MARK(s(from(first(y0, nil)))) -> c10(MARK(from(first(y0, nil))))
   MARK(s(from(first(y0, s(y1))))) -> c10(MARK(from(first(y0, s(y1)))))
   MARK(s(from(first(y0, cons(y1, y2))))) -> c10(MARK(from(first(y0, cons(y1, y2)))))
   MARK(s(from(first(first(y0, y1), y2)))) -> c10(MARK(from(first(first(y0, y1), y2))))
   MARK(s(from(first(from(y0), y1)))) -> c10(MARK(from(first(from(y0), y1))))
   MARK(s(from(first(0, y0)))) -> c10(MARK(from(first(0, y0))))
   MARK(s(from(first(nil, y0)))) -> c10(MARK(from(first(nil, y0))))
   MARK(s(from(first(s(y0), y1)))) -> c10(MARK(from(first(s(y0), y1))))
   MARK(s(from(first(cons(y0, y1), y2)))) -> c10(MARK(from(first(cons(y0, y1), y2))))
   MARK(s(from(from(y0)))) -> c10(MARK(from(from(y0))))
   MARK(s(from(from(first(y0, y1))))) -> c10(MARK(from(from(first(y0, y1)))))
   MARK(s(from(from(from(y0))))) -> c10(MARK(from(from(from(y0)))))
   MARK(s(from(from(s(y0))))) -> c10(MARK(from(from(s(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(0)))) -> c10(MARK(from(from(0))))
   MARK(s(from(from(nil)))) -> c10(MARK(from(from(nil))))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c11_1, c5_1, c6_1, c5_2, c6_2, c1_1, c3_1, c7_2, c7_1, c10_1


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

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

(156)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
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   MARK(s(first(first(y0, first(y1, y2)), y3))) -> c10(MARK(first(first(y0, first(y1, y2)), y3)))
   MARK(s(first(first(y0, from(y1)), y2))) -> c10(MARK(first(first(y0, from(y1)), y2)))
   MARK(s(first(first(y0, 0), y1))) -> c10(MARK(first(first(y0, 0), y1)))
   MARK(s(first(first(y0, nil), y1))) -> c10(MARK(first(first(y0, nil), y1)))
   MARK(s(first(first(y0, s(y1)), y2))) -> c10(MARK(first(first(y0, s(y1)), y2)))
   MARK(s(first(first(y0, cons(y1, y2)), y3))) -> c10(MARK(first(first(y0, cons(y1, y2)), y3)))
   MARK(s(first(first(first(y0, y1), y2), y3))) -> c10(MARK(first(first(first(y0, y1), y2), y3)))
   MARK(s(first(first(from(y0), y1), y2))) -> c10(MARK(first(first(from(y0), y1), y2)))
   MARK(s(first(first(0, y0), y1))) -> c10(MARK(first(first(0, y0), y1)))
   MARK(s(first(first(nil, y0), y1))) -> c10(MARK(first(first(nil, y0), y1)))
   MARK(s(first(first(s(y0), y1), y2))) -> c10(MARK(first(first(s(y0), y1), y2)))
   MARK(s(first(first(cons(y0, y1), y2), y3))) -> c10(MARK(first(first(cons(y0, y1), y2), y3)))
   MARK(s(first(first(y0, y1), 0))) -> c10(MARK(first(first(y0, y1), 0)))
   MARK(s(first(first(y0, y1), nil))) -> c10(MARK(first(first(y0, y1), nil)))
   MARK(s(first(first(y0, y1), s(y2)))) -> c10(MARK(first(first(y0, y1), s(y2))))
   MARK(s(first(first(y0, y1), y2))) -> c10(MARK(first(first(y0, y1), y2)))
   MARK(s(first(from(first(y0, y1)), y2))) -> c10(MARK(first(from(first(y0, y1)), y2)))
   MARK(s(first(from(from(y0)), y1))) -> c10(MARK(first(from(from(y0)), y1)))
   MARK(s(first(from(s(y0)), y1))) -> c10(MARK(first(from(s(y0)), y1)))
   MARK(s(first(from(cons(y0, y1)), y2))) -> c10(MARK(first(from(cons(y0, y1)), y2)))
   MARK(s(first(from(y0), y1))) -> c10(MARK(first(from(y0), y1)))
   MARK(s(first(from(y0), 0))) -> c10(MARK(first(from(y0), 0)))
   MARK(s(first(from(y0), nil))) -> c10(MARK(first(from(y0), nil)))
   MARK(s(first(from(y0), s(y1)))) -> c10(MARK(first(from(y0), s(y1))))
   MARK(s(first(s(first(y0, y1)), y2))) -> c10(MARK(first(s(first(y0, y1)), y2)))
   MARK(s(first(s(from(y0)), y1))) -> c10(MARK(first(s(from(y0)), y1)))
   MARK(s(first(s(0), y0))) -> c10(MARK(first(s(0), y0)))
   MARK(s(first(s(nil), y0))) -> c10(MARK(first(s(nil), y0)))
   MARK(s(first(s(s(y0)), y1))) -> c10(MARK(first(s(s(y0)), y1)))
   MARK(s(first(s(cons(y0, y1)), y2))) -> c10(MARK(first(s(cons(y0, y1)), y2)))
   MARK(s(first(s(y0), y1))) -> c10(MARK(first(s(y0), y1)))
   MARK(s(first(s(y0), 0))) -> c10(MARK(first(s(y0), 0)))
   MARK(s(first(s(y0), nil))) -> c10(MARK(first(s(y0), nil)))
   MARK(s(first(s(y0), s(y1)))) -> c10(MARK(first(s(y0), s(y1))))
   MARK(s(first(0, first(y0, y1)))) -> c10(MARK(first(0, first(y0, y1))))
   MARK(s(first(nil, first(y0, y1)))) -> c10(MARK(first(nil, first(y0, y1))))
   MARK(s(first(0, from(y0)))) -> c10(MARK(first(0, from(y0))))
   MARK(s(first(nil, from(y0)))) -> c10(MARK(first(nil, from(y0))))
   MARK(s(first(y0, cons(y1, y2)))) -> c10(MARK(first(y0, cons(y1, y2))))
   MARK(s(first(0, cons(y0, y1)))) -> c10(MARK(first(0, cons(y0, y1))))
   MARK(s(first(nil, cons(y0, y1)))) -> c10(MARK(first(nil, cons(y0, y1))))
   MARK(s(first(from(0), y0))) -> c10(MARK(first(from(0), y0)))
   MARK(s(first(from(nil), y0))) -> c10(MARK(first(from(nil), y0)))
   MARK(s(first(y0, cons(0, y1)))) -> c10(MARK(first(y0, cons(0, y1))))
   MARK(s(first(y0, cons(nil, y1)))) -> c10(MARK(first(y0, cons(nil, y1))))
   MARK(s(from(s(y0)))) -> c10(MARK(from(s(y0))))
   MARK(s(from(cons(y0, y1)))) -> c10(MARK(from(cons(y0, y1))))
   MARK(s(from(first(y0, y1)))) -> c10(MARK(from(first(y0, y1))))
   MARK(s(from(first(y0, first(y1, y2))))) -> c10(MARK(from(first(y0, first(y1, y2)))))
   MARK(s(from(first(y0, from(y1))))) -> c10(MARK(from(first(y0, from(y1)))))
   MARK(s(from(first(y0, 0)))) -> c10(MARK(from(first(y0, 0))))
   MARK(s(from(first(y0, nil)))) -> c10(MARK(from(first(y0, nil))))
   MARK(s(from(first(y0, s(y1))))) -> c10(MARK(from(first(y0, s(y1)))))
   MARK(s(from(first(y0, cons(y1, y2))))) -> c10(MARK(from(first(y0, cons(y1, y2)))))
   MARK(s(from(first(first(y0, y1), y2)))) -> c10(MARK(from(first(first(y0, y1), y2))))
   MARK(s(from(first(from(y0), y1)))) -> c10(MARK(from(first(from(y0), y1))))
   MARK(s(from(first(0, y0)))) -> c10(MARK(from(first(0, y0))))
   MARK(s(from(first(nil, y0)))) -> c10(MARK(from(first(nil, y0))))
   MARK(s(from(first(s(y0), y1)))) -> c10(MARK(from(first(s(y0), y1))))
   MARK(s(from(first(cons(y0, y1), y2)))) -> c10(MARK(from(first(cons(y0, y1), y2))))
   MARK(s(from(from(y0)))) -> c10(MARK(from(from(y0))))
   MARK(s(from(from(first(y0, y1))))) -> c10(MARK(from(from(first(y0, y1)))))
   MARK(s(from(from(from(y0))))) -> c10(MARK(from(from(from(y0)))))
   MARK(s(from(from(s(y0))))) -> c10(MARK(from(from(s(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(0)))) -> c10(MARK(from(from(0))))
   MARK(s(from(from(nil)))) -> c10(MARK(from(from(nil))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)))
S tuples:
   MARK(cons(z0, z1)) -> c11(MARK(z0))
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(s(x0), s(z0))) -> c6(MARK(s(z0)))
   A__FIRST(s(z0), cons(from(y0), z2)) -> c1(MARK(from(y0)))
   A__FIRST(s(z0), cons(s(y0), z2)) -> c1(MARK(s(y0)))
   A__FIRST(s(z0), cons(cons(y0, y1), z2)) -> c1(MARK(cons(y0, y1)))
   A__FIRST(s(z0), cons(first(y0, 0), z2)) -> c1(MARK(first(y0, 0)))
   A__FIRST(s(z0), cons(first(y0, nil), z2)) -> c1(MARK(first(y0, nil)))
   A__FIRST(s(z0), cons(first(y0, s(y1)), z2)) -> c1(MARK(first(y0, s(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), y2), z2)) -> c1(MARK(first(cons(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(0, y0), z2)) -> c1(MARK(first(0, y0)))
   A__FIRST(s(z0), cons(first(nil, y0), z2)) -> c1(MARK(first(nil, y0)))
   A__FIRST(s(z0), cons(first(y0, first(y1, first(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, from(y2))), z2)) -> c1(MARK(first(y0, first(y1, from(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, 0)), z2)) -> c1(MARK(first(y0, first(y1, 0))))
   A__FIRST(s(z0), cons(first(y0, first(y1, nil)), z2)) -> c1(MARK(first(y0, first(y1, nil))))
   A__FIRST(s(z0), cons(first(y0, first(y1, s(y2))), z2)) -> c1(MARK(first(y0, first(y1, s(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, cons(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, first(from(y1), y2)), z2)) -> c1(MARK(first(y0, first(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(0, y1)), z2)) -> c1(MARK(first(y0, first(0, y1))))
   A__FIRST(s(z0), cons(first(y0, first(nil, y1)), z2)) -> c1(MARK(first(y0, first(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, first(s(y1), y2)), z2)) -> c1(MARK(first(y0, first(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), first(y1, y2)), z2)) -> c1(MARK(first(from(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), first(y1, y2)), z2)) -> c1(MARK(first(s(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
   A__FROM(first(y0, cons(nil, y1))) -> c3(MARK(first(y0, cons(nil, y1))))
   MARK(from(s(z0))) -> c7(A__FROM(s(mark(z0))), MARK(s(z0)))
   MARK(from(cons(z0, z1))) -> c7(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1)))
   MARK(first(from(0), x1)) -> c5(A__FIRST(a__from(0), mark(x1)))
   MARK(first(from(nil), x1)) -> c5(A__FIRST(a__from(nil), mark(x1)))
   MARK(first(x0, from(0))) -> c6(A__FIRST(mark(x0), a__from(0)))
   MARK(first(x0, from(nil))) -> c6(A__FIRST(mark(x0), a__from(nil)))
   MARK(from(first(x0, x1))) -> c7(A__FROM(first(mark(x0), mark(x1))), MARK(first(x0, x1)))
   MARK(from(first(x0, first(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), a__first(mark(z0), mark(z1)))), MARK(first(x0, first(z0, z1))))
   MARK(from(first(x0, from(z0)))) -> c7(A__FROM(a__first(mark(x0), a__from(mark(z0)))), MARK(first(x0, from(z0))))
   MARK(from(first(x0, 0))) -> c7(A__FROM(a__first(mark(x0), 0)), MARK(first(x0, 0)))
   MARK(from(first(x0, nil))) -> c7(A__FROM(a__first(mark(x0), nil)), MARK(first(x0, nil)))
   MARK(from(first(x0, s(z0)))) -> c7(A__FROM(a__first(mark(x0), s(mark(z0)))), MARK(first(x0, s(z0))))
   MARK(from(first(x0, cons(z0, z1)))) -> c7(A__FROM(a__first(mark(x0), cons(mark(z0), z1))), MARK(first(x0, cons(z0, z1))))
   MARK(from(first(first(z0, z1), x1))) -> c7(A__FROM(a__first(a__first(mark(z0), mark(z1)), mark(x1))), MARK(first(first(z0, z1), x1)))
   MARK(from(first(from(z0), x1))) -> c7(A__FROM(a__first(a__from(mark(z0)), mark(x1))), MARK(first(from(z0), x1)))
   MARK(from(first(0, x1))) -> c7(A__FROM(a__first(0, mark(x1))), MARK(first(0, x1)))
   MARK(from(first(nil, x1))) -> c7(A__FROM(a__first(nil, mark(x1))), MARK(first(nil, x1)))
   MARK(from(first(s(z0), x1))) -> c7(A__FROM(a__first(s(mark(z0)), mark(x1))), MARK(first(s(z0), x1)))
   MARK(from(first(cons(z0, z1), x1))) -> c7(A__FROM(a__first(cons(mark(z0), z1), mark(x1))), MARK(first(cons(z0, z1), x1)))
   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(first(z0, z1)))) -> c7(A__FROM(a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(from(from(from(z0)))) -> c7(A__FROM(a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(from(from(s(z0)))) -> c7(A__FROM(a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(from(from(cons(z0, z1)))) -> c7(A__FROM(a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(from(from(0))) -> c7(A__FROM(a__from(0)))
   MARK(from(from(nil))) -> c7(A__FROM(a__from(nil)))
   MARK(s(s(y0))) -> c10(MARK(s(y0)))
   MARK(s(cons(y0, y1))) -> c10(MARK(cons(y0, y1)))
   MARK(s(first(y0, 0))) -> c10(MARK(first(y0, 0)))
   MARK(s(first(y0, nil))) -> c10(MARK(first(y0, nil)))
   MARK(s(first(y0, s(y1)))) -> c10(MARK(first(y0, s(y1))))
   MARK(s(first(cons(y0, y1), y2))) -> c10(MARK(first(cons(y0, y1), y2)))
   MARK(s(first(0, y0))) -> c10(MARK(first(0, y0)))
   MARK(s(first(nil, y0))) -> c10(MARK(first(nil, y0)))
   MARK(s(first(y0, first(y1, first(y2, y3))))) -> c10(MARK(first(y0, first(y1, first(y2, y3)))))
   MARK(s(first(y0, first(y1, from(y2))))) -> c10(MARK(first(y0, first(y1, from(y2)))))
   MARK(s(first(y0, first(y1, 0)))) -> c10(MARK(first(y0, first(y1, 0))))
   MARK(s(first(y0, first(y1, nil)))) -> c10(MARK(first(y0, first(y1, nil))))
   MARK(s(first(y0, first(y1, s(y2))))) -> c10(MARK(first(y0, first(y1, s(y2)))))
   MARK(s(first(y0, first(y1, cons(y2, y3))))) -> c10(MARK(first(y0, first(y1, cons(y2, y3)))))
   MARK(s(first(y0, first(first(y1, y2), y3)))) -> c10(MARK(first(y0, first(first(y1, y2), y3))))
   MARK(s(first(y0, first(from(y1), y2)))) -> c10(MARK(first(y0, first(from(y1), y2))))
   MARK(s(first(y0, first(0, y1)))) -> c10(MARK(first(y0, first(0, y1))))
   MARK(s(first(y0, first(nil, y1)))) -> c10(MARK(first(y0, first(nil, y1))))
   MARK(s(first(y0, first(s(y1), y2)))) -> c10(MARK(first(y0, first(s(y1), y2))))
   MARK(s(first(y0, first(cons(y1, y2), y3)))) -> c10(MARK(first(y0, first(cons(y1, y2), y3))))
   MARK(s(first(first(y0, y1), first(y2, y3)))) -> c10(MARK(first(first(y0, y1), first(y2, y3))))
   MARK(s(first(from(y0), first(y1, y2)))) -> c10(MARK(first(from(y0), first(y1, y2))))
   MARK(s(first(s(y0), first(y1, y2)))) -> c10(MARK(first(s(y0), first(y1, y2))))
   MARK(s(first(y0, first(y1, y2)))) -> c10(MARK(first(y0, first(y1, y2))))
   MARK(s(first(cons(y0, y1), first(y2, y3)))) -> c10(MARK(first(cons(y0, y1), first(y2, y3))))
   MARK(s(first(y0, from(y1)))) -> c10(MARK(first(y0, from(y1))))
   MARK(s(first(y0, from(first(y1, y2))))) -> c10(MARK(first(y0, from(first(y1, y2)))))
   MARK(s(first(y0, from(from(y1))))) -> c10(MARK(first(y0, from(from(y1)))))
   MARK(s(first(y0, from(0)))) -> c10(MARK(first(y0, from(0))))
   MARK(s(first(y0, from(nil)))) -> c10(MARK(first(y0, from(nil))))
   MARK(s(first(y0, from(s(y1))))) -> c10(MARK(first(y0, from(s(y1)))))
   MARK(s(first(y0, from(cons(y1, y2))))) -> c10(MARK(first(y0, from(cons(y1, y2)))))
   MARK(s(first(first(y0, y1), from(y2)))) -> c10(MARK(first(first(y0, y1), from(y2))))
   MARK(s(first(from(y0), from(y1)))) -> c10(MARK(first(from(y0), from(y1))))
   MARK(s(first(s(y0), from(y1)))) -> c10(MARK(first(s(y0), from(y1))))
   MARK(s(first(cons(y0, y1), from(y2)))) -> c10(MARK(first(cons(y0, y1), from(y2))))
   MARK(s(first(y0, cons(first(y1, y2), y3)))) -> c10(MARK(first(y0, cons(first(y1, y2), y3))))
   MARK(s(first(y0, cons(from(y1), y2)))) -> c10(MARK(first(y0, cons(from(y1), y2))))
   MARK(s(first(y0, cons(s(y1), y2)))) -> c10(MARK(first(y0, cons(s(y1), y2))))
   MARK(s(first(y0, cons(cons(y1, y2), y3)))) -> c10(MARK(first(y0, cons(cons(y1, y2), y3))))
   MARK(s(first(first(y0, y1), cons(y2, y3)))) -> c10(MARK(first(first(y0, y1), cons(y2, y3))))
   MARK(s(first(from(y0), cons(y1, y2)))) -> c10(MARK(first(from(y0), cons(y1, y2))))
   MARK(s(first(s(y0), cons(y1, y2)))) -> c10(MARK(first(s(y0), cons(y1, y2))))
   MARK(s(first(cons(y0, y1), cons(y2, y3)))) -> c10(MARK(first(cons(y0, y1), cons(y2, y3))))
   MARK(s(first(first(y0, first(y1, y2)), y3))) -> c10(MARK(first(first(y0, first(y1, y2)), y3)))
   MARK(s(first(first(y0, from(y1)), y2))) -> c10(MARK(first(first(y0, from(y1)), y2)))
   MARK(s(first(first(y0, 0), y1))) -> c10(MARK(first(first(y0, 0), y1)))
   MARK(s(first(first(y0, nil), y1))) -> c10(MARK(first(first(y0, nil), y1)))
   MARK(s(first(first(y0, s(y1)), y2))) -> c10(MARK(first(first(y0, s(y1)), y2)))
   MARK(s(first(first(y0, cons(y1, y2)), y3))) -> c10(MARK(first(first(y0, cons(y1, y2)), y3)))
   MARK(s(first(first(first(y0, y1), y2), y3))) -> c10(MARK(first(first(first(y0, y1), y2), y3)))
   MARK(s(first(first(from(y0), y1), y2))) -> c10(MARK(first(first(from(y0), y1), y2)))
   MARK(s(first(first(0, y0), y1))) -> c10(MARK(first(first(0, y0), y1)))
   MARK(s(first(first(nil, y0), y1))) -> c10(MARK(first(first(nil, y0), y1)))
   MARK(s(first(first(s(y0), y1), y2))) -> c10(MARK(first(first(s(y0), y1), y2)))
   MARK(s(first(first(cons(y0, y1), y2), y3))) -> c10(MARK(first(first(cons(y0, y1), y2), y3)))
   MARK(s(first(first(y0, y1), 0))) -> c10(MARK(first(first(y0, y1), 0)))
   MARK(s(first(first(y0, y1), nil))) -> c10(MARK(first(first(y0, y1), nil)))
   MARK(s(first(first(y0, y1), s(y2)))) -> c10(MARK(first(first(y0, y1), s(y2))))
   MARK(s(first(first(y0, y1), y2))) -> c10(MARK(first(first(y0, y1), y2)))
   MARK(s(first(from(first(y0, y1)), y2))) -> c10(MARK(first(from(first(y0, y1)), y2)))
   MARK(s(first(from(from(y0)), y1))) -> c10(MARK(first(from(from(y0)), y1)))
   MARK(s(first(from(s(y0)), y1))) -> c10(MARK(first(from(s(y0)), y1)))
   MARK(s(first(from(cons(y0, y1)), y2))) -> c10(MARK(first(from(cons(y0, y1)), y2)))
   MARK(s(first(from(y0), y1))) -> c10(MARK(first(from(y0), y1)))
   MARK(s(first(from(y0), 0))) -> c10(MARK(first(from(y0), 0)))
   MARK(s(first(from(y0), nil))) -> c10(MARK(first(from(y0), nil)))
   MARK(s(first(from(y0), s(y1)))) -> c10(MARK(first(from(y0), s(y1))))
   MARK(s(first(s(first(y0, y1)), y2))) -> c10(MARK(first(s(first(y0, y1)), y2)))
   MARK(s(first(s(from(y0)), y1))) -> c10(MARK(first(s(from(y0)), y1)))
   MARK(s(first(s(0), y0))) -> c10(MARK(first(s(0), y0)))
   MARK(s(first(s(nil), y0))) -> c10(MARK(first(s(nil), y0)))
   MARK(s(first(s(s(y0)), y1))) -> c10(MARK(first(s(s(y0)), y1)))
   MARK(s(first(s(cons(y0, y1)), y2))) -> c10(MARK(first(s(cons(y0, y1)), y2)))
   MARK(s(first(s(y0), y1))) -> c10(MARK(first(s(y0), y1)))
   MARK(s(first(s(y0), 0))) -> c10(MARK(first(s(y0), 0)))
   MARK(s(first(s(y0), nil))) -> c10(MARK(first(s(y0), nil)))
   MARK(s(first(s(y0), s(y1)))) -> c10(MARK(first(s(y0), s(y1))))
   MARK(s(first(0, first(y0, y1)))) -> c10(MARK(first(0, first(y0, y1))))
   MARK(s(first(nil, first(y0, y1)))) -> c10(MARK(first(nil, first(y0, y1))))
   MARK(s(first(0, from(y0)))) -> c10(MARK(first(0, from(y0))))
   MARK(s(first(nil, from(y0)))) -> c10(MARK(first(nil, from(y0))))
   MARK(s(first(y0, cons(y1, y2)))) -> c10(MARK(first(y0, cons(y1, y2))))
   MARK(s(first(0, cons(y0, y1)))) -> c10(MARK(first(0, cons(y0, y1))))
   MARK(s(first(nil, cons(y0, y1)))) -> c10(MARK(first(nil, cons(y0, y1))))
   MARK(s(first(from(0), y0))) -> c10(MARK(first(from(0), y0)))
   MARK(s(first(from(nil), y0))) -> c10(MARK(first(from(nil), y0)))
   MARK(s(first(y0, cons(0, y1)))) -> c10(MARK(first(y0, cons(0, y1))))
   MARK(s(first(y0, cons(nil, y1)))) -> c10(MARK(first(y0, cons(nil, y1))))
   MARK(s(from(s(y0)))) -> c10(MARK(from(s(y0))))
   MARK(s(from(cons(y0, y1)))) -> c10(MARK(from(cons(y0, y1))))
   MARK(s(from(first(y0, y1)))) -> c10(MARK(from(first(y0, y1))))
   MARK(s(from(first(y0, first(y1, y2))))) -> c10(MARK(from(first(y0, first(y1, y2)))))
   MARK(s(from(first(y0, from(y1))))) -> c10(MARK(from(first(y0, from(y1)))))
   MARK(s(from(first(y0, 0)))) -> c10(MARK(from(first(y0, 0))))
   MARK(s(from(first(y0, nil)))) -> c10(MARK(from(first(y0, nil))))
   MARK(s(from(first(y0, s(y1))))) -> c10(MARK(from(first(y0, s(y1)))))
   MARK(s(from(first(y0, cons(y1, y2))))) -> c10(MARK(from(first(y0, cons(y1, y2)))))
   MARK(s(from(first(first(y0, y1), y2)))) -> c10(MARK(from(first(first(y0, y1), y2))))
   MARK(s(from(first(from(y0), y1)))) -> c10(MARK(from(first(from(y0), y1))))
   MARK(s(from(first(0, y0)))) -> c10(MARK(from(first(0, y0))))
   MARK(s(from(first(nil, y0)))) -> c10(MARK(from(first(nil, y0))))
   MARK(s(from(first(s(y0), y1)))) -> c10(MARK(from(first(s(y0), y1))))
   MARK(s(from(first(cons(y0, y1), y2)))) -> c10(MARK(from(first(cons(y0, y1), y2))))
   MARK(s(from(from(y0)))) -> c10(MARK(from(from(y0))))
   MARK(s(from(from(first(y0, y1))))) -> c10(MARK(from(from(first(y0, y1)))))
   MARK(s(from(from(from(y0))))) -> c10(MARK(from(from(from(y0)))))
   MARK(s(from(from(s(y0))))) -> c10(MARK(from(from(s(y0)))))
   MARK(s(from(from(cons(y0, y1))))) -> c10(MARK(from(from(cons(y0, y1)))))
   MARK(s(from(from(0)))) -> c10(MARK(from(from(0))))
   MARK(s(from(from(nil)))) -> c10(MARK(from(from(nil))))
   MARK(first(s(0), x1)) -> c5(A__FIRST(s(0), mark(x1)))
   MARK(first(s(nil), x1)) -> c5(A__FIRST(s(nil), mark(x1)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c11_1, c5_1, c6_1, c5_2, c6_2, c1_1, c3_1, c7_2, c7_1, c10_1


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

(157) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(cons(z0, z1)) -> c11(MARK(z0)) by 
   MARK(cons(cons(y0, y1), z1)) -> c11(MARK(cons(y0, y1)))
   MARK(cons(first(y0, 0), z1)) -> c11(MARK(first(y0, 0)))
   MARK(cons(first(y0, nil), z1)) -> c11(MARK(first(y0, nil)))
   MARK(cons(first(y0, s(y1)), z1)) -> c11(MARK(first(y0, s(y1))))
   MARK(cons(first(cons(y0, y1), y2), z1)) -> c11(MARK(first(cons(y0, y1), y2)))
   MARK(cons(first(0, y0), z1)) -> c11(MARK(first(0, y0)))
   MARK(cons(first(nil, y0), z1)) -> c11(MARK(first(nil, y0)))
   MARK(cons(first(y0, first(y1, first(y2, y3))), z1)) -> c11(MARK(first(y0, first(y1, first(y2, y3)))))
   MARK(cons(first(y0, first(y1, from(y2))), z1)) -> c11(MARK(first(y0, first(y1, from(y2)))))
   MARK(cons(first(y0, first(y1, 0)), z1)) -> c11(MARK(first(y0, first(y1, 0))))
   MARK(cons(first(y0, first(y1, nil)), z1)) -> c11(MARK(first(y0, first(y1, nil))))
   MARK(cons(first(y0, first(y1, s(y2))), z1)) -> c11(MARK(first(y0, first(y1, s(y2)))))
   MARK(cons(first(y0, first(y1, cons(y2, y3))), z1)) -> c11(MARK(first(y0, first(y1, cons(y2, y3)))))
   MARK(cons(first(y0, first(first(y1, y2), y3)), z1)) -> c11(MARK(first(y0, first(first(y1, y2), y3))))
   MARK(cons(first(y0, first(from(y1), y2)), z1)) -> c11(MARK(first(y0, first(from(y1), y2))))
   MARK(cons(first(y0, first(0, y1)), z1)) -> c11(MARK(first(y0, first(0, y1))))
   MARK(cons(first(y0, first(nil, y1)), z1)) -> c11(MARK(first(y0, first(nil, y1))))
   MARK(cons(first(y0, first(s(y1), y2)), z1)) -> c11(MARK(first(y0, first(s(y1), y2))))
   MARK(cons(first(y0, first(cons(y1, y2), y3)), z1)) -> c11(MARK(first(y0, first(cons(y1, y2), y3))))
   MARK(cons(first(first(y0, y1), first(y2, y3)), z1)) -> c11(MARK(first(first(y0, y1), first(y2, y3))))
   MARK(cons(first(from(y0), first(y1, y2)), z1)) -> c11(MARK(first(from(y0), first(y1, y2))))
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   MARK(cons(s(from(first(y0, first(y1, y2)))), z1)) -> c11(MARK(s(from(first(y0, first(y1, y2))))))
   MARK(cons(s(from(first(y0, from(y1)))), z1)) -> c11(MARK(s(from(first(y0, from(y1))))))
   MARK(cons(s(from(first(y0, 0))), z1)) -> c11(MARK(s(from(first(y0, 0)))))
   MARK(cons(s(from(first(y0, nil))), z1)) -> c11(MARK(s(from(first(y0, nil)))))
   MARK(cons(s(from(first(y0, s(y1)))), z1)) -> c11(MARK(s(from(first(y0, s(y1))))))
   MARK(cons(s(from(first(y0, cons(y1, y2)))), z1)) -> c11(MARK(s(from(first(y0, cons(y1, y2))))))
   MARK(cons(s(from(first(first(y0, y1), y2))), z1)) -> c11(MARK(s(from(first(first(y0, y1), y2)))))
   MARK(cons(s(from(first(from(y0), y1))), z1)) -> c11(MARK(s(from(first(from(y0), y1)))))
   MARK(cons(s(from(first(0, y0))), z1)) -> c11(MARK(s(from(first(0, y0)))))
   MARK(cons(s(from(first(nil, y0))), z1)) -> c11(MARK(s(from(first(nil, y0)))))
   MARK(cons(s(from(first(s(y0), y1))), z1)) -> c11(MARK(s(from(first(s(y0), y1)))))
   MARK(cons(s(from(first(cons(y0, y1), y2))), z1)) -> c11(MARK(s(from(first(cons(y0, y1), y2)))))
   MARK(cons(s(from(from(y0))), z1)) -> c11(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(first(y0, y1)))), z1)) -> c11(MARK(s(from(from(first(y0, y1))))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c11(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c11(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(0))), z1)) -> c11(MARK(s(from(from(0)))))
   MARK(cons(s(from(from(nil))), z1)) -> c11(MARK(s(from(from(nil)))))

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

(158)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(s(x0), s(z0))) -> c6(MARK(s(z0)))
   A__FIRST(s(z0), cons(from(y0), z2)) -> c1(MARK(from(y0)))
   A__FIRST(s(z0), cons(s(y0), z2)) -> c1(MARK(s(y0)))
   A__FIRST(s(z0), cons(cons(y0, y1), z2)) -> c1(MARK(cons(y0, y1)))
   A__FIRST(s(z0), cons(first(y0, 0), z2)) -> c1(MARK(first(y0, 0)))
   A__FIRST(s(z0), cons(first(y0, nil), z2)) -> c1(MARK(first(y0, nil)))
   A__FIRST(s(z0), cons(first(y0, s(y1)), z2)) -> c1(MARK(first(y0, s(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), y2), z2)) -> c1(MARK(first(cons(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(0, y0), z2)) -> c1(MARK(first(0, y0)))
   A__FIRST(s(z0), cons(first(nil, y0), z2)) -> c1(MARK(first(nil, y0)))
   A__FIRST(s(z0), cons(first(y0, first(y1, first(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, from(y2))), z2)) -> c1(MARK(first(y0, first(y1, from(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, 0)), z2)) -> c1(MARK(first(y0, first(y1, 0))))
   A__FIRST(s(z0), cons(first(y0, first(y1, nil)), z2)) -> c1(MARK(first(y0, first(y1, nil))))
   A__FIRST(s(z0), cons(first(y0, first(y1, s(y2))), z2)) -> c1(MARK(first(y0, first(y1, s(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, cons(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, first(from(y1), y2)), z2)) -> c1(MARK(first(y0, first(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(0, y1)), z2)) -> c1(MARK(first(y0, first(0, y1))))
   A__FIRST(s(z0), cons(first(y0, first(nil, y1)), z2)) -> c1(MARK(first(y0, first(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, first(s(y1), y2)), z2)) -> c1(MARK(first(y0, first(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), first(y1, y2)), z2)) -> c1(MARK(first(from(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), first(y1, y2)), z2)) -> c1(MARK(first(s(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
   A__FROM(first(s(first(y0, y1)), y2)) -> c3(MARK(first(s(first(y0, y1)), y2)))
   A__FROM(first(s(from(y0)), y1)) -> c3(MARK(first(s(from(y0)), y1)))
   A__FROM(first(s(0), y0)) -> c3(MARK(first(s(0), y0)))
   A__FROM(first(s(nil), y0)) -> c3(MARK(first(s(nil), y0)))
   A__FROM(first(s(s(y0)), y1)) -> c3(MARK(first(s(s(y0)), y1)))
   A__FROM(first(s(cons(y0, y1)), y2)) -> c3(MARK(first(s(cons(y0, y1)), y2)))
   A__FROM(first(s(y0), y1)) -> c3(MARK(first(s(y0), y1)))
   A__FROM(first(s(y0), 0)) -> c3(MARK(first(s(y0), 0)))
   A__FROM(first(s(y0), nil)) -> c3(MARK(first(s(y0), nil)))
   A__FROM(first(s(y0), s(y1))) -> c3(MARK(first(s(y0), s(y1))))
   A__FROM(first(0, first(y0, y1))) -> c3(MARK(first(0, first(y0, y1))))
   A__FROM(first(nil, first(y0, y1))) -> c3(MARK(first(nil, first(y0, y1))))
   A__FROM(first(0, from(y0))) -> c3(MARK(first(0, from(y0))))
   A__FROM(first(nil, from(y0))) -> c3(MARK(first(nil, from(y0))))
   A__FROM(first(y0, cons(y1, y2))) -> c3(MARK(first(y0, cons(y1, y2))))
   A__FROM(first(0, cons(y0, y1))) -> c3(MARK(first(0, cons(y0, y1))))
   A__FROM(first(nil, cons(y0, y1))) -> c3(MARK(first(nil, cons(y0, y1))))
   A__FROM(first(y0, cons(0, y1))) -> c3(MARK(first(y0, cons(0, y1))))
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   MARK(cons(first(from(first(y0, y1)), y2), z1)) -> c11(MARK(first(from(first(y0, y1)), y2)))
   MARK(cons(first(from(from(y0)), y1), z1)) -> c11(MARK(first(from(from(y0)), y1)))
   MARK(cons(first(from(s(y0)), y1), z1)) -> c11(MARK(first(from(s(y0)), y1)))
   MARK(cons(first(from(cons(y0, y1)), y2), z1)) -> c11(MARK(first(from(cons(y0, y1)), y2)))
   MARK(cons(first(from(y0), y1), z1)) -> c11(MARK(first(from(y0), y1)))
   MARK(cons(first(from(y0), 0), z1)) -> c11(MARK(first(from(y0), 0)))
   MARK(cons(first(from(y0), nil), z1)) -> c11(MARK(first(from(y0), nil)))
   MARK(cons(first(from(y0), s(y1)), z1)) -> c11(MARK(first(from(y0), s(y1))))
   MARK(cons(first(s(first(y0, y1)), y2), z1)) -> c11(MARK(first(s(first(y0, y1)), y2)))
   MARK(cons(first(s(from(y0)), y1), z1)) -> c11(MARK(first(s(from(y0)), y1)))
   MARK(cons(first(s(s(y0)), y1), z1)) -> c11(MARK(first(s(s(y0)), y1)))
   MARK(cons(first(s(cons(y0, y1)), y2), z1)) -> c11(MARK(first(s(cons(y0, y1)), y2)))
   MARK(cons(first(s(y0), y1), z1)) -> c11(MARK(first(s(y0), y1)))
   MARK(cons(first(s(y0), 0), z1)) -> c11(MARK(first(s(y0), 0)))
   MARK(cons(first(s(y0), nil), z1)) -> c11(MARK(first(s(y0), nil)))
   MARK(cons(first(s(y0), s(y1)), z1)) -> c11(MARK(first(s(y0), s(y1))))
   MARK(cons(first(0, first(y0, y1)), z1)) -> c11(MARK(first(0, first(y0, y1))))
   MARK(cons(first(nil, first(y0, y1)), z1)) -> c11(MARK(first(nil, first(y0, y1))))
   MARK(cons(first(0, from(y0)), z1)) -> c11(MARK(first(0, from(y0))))
   MARK(cons(first(nil, from(y0)), z1)) -> c11(MARK(first(nil, from(y0))))
   MARK(cons(first(y0, cons(y1, y2)), z1)) -> c11(MARK(first(y0, cons(y1, y2))))
   MARK(cons(first(0, cons(y0, y1)), z1)) -> c11(MARK(first(0, cons(y0, y1))))
   MARK(cons(first(nil, cons(y0, y1)), z1)) -> c11(MARK(first(nil, cons(y0, y1))))
   MARK(cons(first(from(0), y0), z1)) -> c11(MARK(first(from(0), y0)))
   MARK(cons(first(from(nil), y0), z1)) -> c11(MARK(first(from(nil), y0)))
   MARK(cons(first(s(0), y0), z1)) -> c11(MARK(first(s(0), y0)))
   MARK(cons(first(s(nil), y0), z1)) -> c11(MARK(first(s(nil), y0)))
   MARK(cons(first(y0, cons(0, y1)), z1)) -> c11(MARK(first(y0, cons(0, y1))))
   MARK(cons(first(y0, cons(nil, y1)), z1)) -> c11(MARK(first(y0, cons(nil, y1))))
   MARK(cons(from(s(y0)), z1)) -> c11(MARK(from(s(y0))))
   MARK(cons(from(cons(y0, y1)), z1)) -> c11(MARK(from(cons(y0, y1))))
   MARK(cons(from(first(y0, y1)), z1)) -> c11(MARK(from(first(y0, y1))))
   MARK(cons(from(first(y0, first(y1, y2))), z1)) -> c11(MARK(from(first(y0, first(y1, y2)))))
   MARK(cons(from(first(y0, from(y1))), z1)) -> c11(MARK(from(first(y0, from(y1)))))
   MARK(cons(from(first(y0, 0)), z1)) -> c11(MARK(from(first(y0, 0))))
   MARK(cons(from(first(y0, nil)), z1)) -> c11(MARK(from(first(y0, nil))))
   MARK(cons(from(first(y0, s(y1))), z1)) -> c11(MARK(from(first(y0, s(y1)))))
   MARK(cons(from(first(y0, cons(y1, y2))), z1)) -> c11(MARK(from(first(y0, cons(y1, y2)))))
   MARK(cons(from(first(first(y0, y1), y2)), z1)) -> c11(MARK(from(first(first(y0, y1), y2))))
   MARK(cons(from(first(from(y0), y1)), z1)) -> c11(MARK(from(first(from(y0), y1))))
   MARK(cons(from(first(0, y0)), z1)) -> c11(MARK(from(first(0, y0))))
   MARK(cons(from(first(nil, y0)), z1)) -> c11(MARK(from(first(nil, y0))))
   MARK(cons(from(first(s(y0), y1)), z1)) -> c11(MARK(from(first(s(y0), y1))))
   MARK(cons(from(first(cons(y0, y1), y2)), z1)) -> c11(MARK(from(first(cons(y0, y1), y2))))
   MARK(cons(from(from(y0)), z1)) -> c11(MARK(from(from(y0))))
   MARK(cons(from(from(first(y0, y1))), z1)) -> c11(MARK(from(from(first(y0, y1)))))
   MARK(cons(from(from(from(y0))), z1)) -> c11(MARK(from(from(from(y0)))))
   MARK(cons(from(from(s(y0))), z1)) -> c11(MARK(from(from(s(y0)))))
   MARK(cons(from(from(cons(y0, y1))), z1)) -> c11(MARK(from(from(cons(y0, y1)))))
   MARK(cons(from(from(0)), z1)) -> c11(MARK(from(from(0))))
   MARK(cons(from(from(nil)), z1)) -> c11(MARK(from(from(nil))))
   MARK(cons(s(s(y0)), z1)) -> c11(MARK(s(s(y0))))
   MARK(cons(s(cons(y0, y1)), z1)) -> c11(MARK(s(cons(y0, y1))))
   MARK(cons(s(first(y0, 0)), z1)) -> c11(MARK(s(first(y0, 0))))
   MARK(cons(s(first(y0, nil)), z1)) -> c11(MARK(s(first(y0, nil))))
   MARK(cons(s(first(y0, s(y1))), z1)) -> c11(MARK(s(first(y0, s(y1)))))
   MARK(cons(s(first(cons(y0, y1), y2)), z1)) -> c11(MARK(s(first(cons(y0, y1), y2))))
   MARK(cons(s(first(0, y0)), z1)) -> c11(MARK(s(first(0, y0))))
   MARK(cons(s(first(nil, y0)), z1)) -> c11(MARK(s(first(nil, y0))))
   MARK(cons(s(first(y0, first(y1, first(y2, y3)))), z1)) -> c11(MARK(s(first(y0, first(y1, first(y2, y3))))))
   MARK(cons(s(first(y0, first(y1, from(y2)))), z1)) -> c11(MARK(s(first(y0, first(y1, from(y2))))))
   MARK(cons(s(first(y0, first(y1, 0))), z1)) -> c11(MARK(s(first(y0, first(y1, 0)))))
   MARK(cons(s(first(y0, first(y1, nil))), z1)) -> c11(MARK(s(first(y0, first(y1, nil)))))
   MARK(cons(s(first(y0, first(y1, s(y2)))), z1)) -> c11(MARK(s(first(y0, first(y1, s(y2))))))
   MARK(cons(s(first(y0, first(y1, cons(y2, y3)))), z1)) -> c11(MARK(s(first(y0, first(y1, cons(y2, y3))))))
   MARK(cons(s(first(y0, first(first(y1, y2), y3))), z1)) -> c11(MARK(s(first(y0, first(first(y1, y2), y3)))))
   MARK(cons(s(first(y0, first(from(y1), y2))), z1)) -> c11(MARK(s(first(y0, first(from(y1), y2)))))
   MARK(cons(s(first(y0, first(0, y1))), z1)) -> c11(MARK(s(first(y0, first(0, y1)))))
   MARK(cons(s(first(y0, first(nil, y1))), z1)) -> c11(MARK(s(first(y0, first(nil, y1)))))
   MARK(cons(s(first(y0, first(s(y1), y2))), z1)) -> c11(MARK(s(first(y0, first(s(y1), y2)))))
   MARK(cons(s(first(y0, first(cons(y1, y2), y3))), z1)) -> c11(MARK(s(first(y0, first(cons(y1, y2), y3)))))
   MARK(cons(s(first(first(y0, y1), first(y2, y3))), z1)) -> c11(MARK(s(first(first(y0, y1), first(y2, y3)))))
   MARK(cons(s(first(from(y0), first(y1, y2))), z1)) -> c11(MARK(s(first(from(y0), first(y1, y2)))))
   MARK(cons(s(first(s(y0), first(y1, y2))), z1)) -> c11(MARK(s(first(s(y0), first(y1, y2)))))
   MARK(cons(s(first(y0, first(y1, y2))), z1)) -> c11(MARK(s(first(y0, first(y1, y2)))))
   MARK(cons(s(first(cons(y0, y1), first(y2, y3))), z1)) -> c11(MARK(s(first(cons(y0, y1), first(y2, y3)))))
   MARK(cons(s(first(y0, from(y1))), z1)) -> c11(MARK(s(first(y0, from(y1)))))
   MARK(cons(s(first(y0, from(first(y1, y2)))), z1)) -> c11(MARK(s(first(y0, from(first(y1, y2))))))
   MARK(cons(s(first(y0, from(from(y1)))), z1)) -> c11(MARK(s(first(y0, from(from(y1))))))
   MARK(cons(s(first(y0, from(0))), z1)) -> c11(MARK(s(first(y0, from(0)))))
   MARK(cons(s(first(y0, from(nil))), z1)) -> c11(MARK(s(first(y0, from(nil)))))
   MARK(cons(s(first(y0, from(s(y1)))), z1)) -> c11(MARK(s(first(y0, from(s(y1))))))
   MARK(cons(s(first(y0, from(cons(y1, y2)))), z1)) -> c11(MARK(s(first(y0, from(cons(y1, y2))))))
   MARK(cons(s(first(first(y0, y1), from(y2))), z1)) -> c11(MARK(s(first(first(y0, y1), from(y2)))))
   MARK(cons(s(first(from(y0), from(y1))), z1)) -> c11(MARK(s(first(from(y0), from(y1)))))
   MARK(cons(s(first(s(y0), from(y1))), z1)) -> c11(MARK(s(first(s(y0), from(y1)))))
   MARK(cons(s(first(cons(y0, y1), from(y2))), z1)) -> c11(MARK(s(first(cons(y0, y1), from(y2)))))
   MARK(cons(s(first(y0, cons(first(y1, y2), y3))), z1)) -> c11(MARK(s(first(y0, cons(first(y1, y2), y3)))))
   MARK(cons(s(first(y0, cons(from(y1), y2))), z1)) -> c11(MARK(s(first(y0, cons(from(y1), y2)))))
   MARK(cons(s(first(y0, cons(s(y1), y2))), z1)) -> c11(MARK(s(first(y0, cons(s(y1), y2)))))
   MARK(cons(s(first(y0, cons(cons(y1, y2), y3))), z1)) -> c11(MARK(s(first(y0, cons(cons(y1, y2), y3)))))
   MARK(cons(s(first(first(y0, y1), cons(y2, y3))), z1)) -> c11(MARK(s(first(first(y0, y1), cons(y2, y3)))))
   MARK(cons(s(first(from(y0), cons(y1, y2))), z1)) -> c11(MARK(s(first(from(y0), cons(y1, y2)))))
   MARK(cons(s(first(s(y0), cons(y1, y2))), z1)) -> c11(MARK(s(first(s(y0), cons(y1, y2)))))
   MARK(cons(s(first(cons(y0, y1), cons(y2, y3))), z1)) -> c11(MARK(s(first(cons(y0, y1), cons(y2, y3)))))
   MARK(cons(s(first(first(y0, first(y1, y2)), y3)), z1)) -> c11(MARK(s(first(first(y0, first(y1, y2)), y3))))
   MARK(cons(s(first(first(y0, from(y1)), y2)), z1)) -> c11(MARK(s(first(first(y0, from(y1)), y2))))
   MARK(cons(s(first(first(y0, 0), y1)), z1)) -> c11(MARK(s(first(first(y0, 0), y1))))
   MARK(cons(s(first(first(y0, nil), y1)), z1)) -> c11(MARK(s(first(first(y0, nil), y1))))
   MARK(cons(s(first(first(y0, s(y1)), y2)), z1)) -> c11(MARK(s(first(first(y0, s(y1)), y2))))
   MARK(cons(s(first(first(y0, cons(y1, y2)), y3)), z1)) -> c11(MARK(s(first(first(y0, cons(y1, y2)), y3))))
   MARK(cons(s(first(first(first(y0, y1), y2), y3)), z1)) -> c11(MARK(s(first(first(first(y0, y1), y2), y3))))
   MARK(cons(s(first(first(from(y0), y1), y2)), z1)) -> c11(MARK(s(first(first(from(y0), y1), y2))))
   MARK(cons(s(first(first(0, y0), y1)), z1)) -> c11(MARK(s(first(first(0, y0), y1))))
   MARK(cons(s(first(first(nil, y0), y1)), z1)) -> c11(MARK(s(first(first(nil, y0), y1))))
   MARK(cons(s(first(first(s(y0), y1), y2)), z1)) -> c11(MARK(s(first(first(s(y0), y1), y2))))
   MARK(cons(s(first(first(cons(y0, y1), y2), y3)), z1)) -> c11(MARK(s(first(first(cons(y0, y1), y2), y3))))
   MARK(cons(s(first(first(y0, y1), 0)), z1)) -> c11(MARK(s(first(first(y0, y1), 0))))
   MARK(cons(s(first(first(y0, y1), nil)), z1)) -> c11(MARK(s(first(first(y0, y1), nil))))
   MARK(cons(s(first(first(y0, y1), s(y2))), z1)) -> c11(MARK(s(first(first(y0, y1), s(y2)))))
   MARK(cons(s(first(first(y0, y1), y2)), z1)) -> c11(MARK(s(first(first(y0, y1), y2))))
   MARK(cons(s(first(from(first(y0, y1)), y2)), z1)) -> c11(MARK(s(first(from(first(y0, y1)), y2))))
   MARK(cons(s(first(from(from(y0)), y1)), z1)) -> c11(MARK(s(first(from(from(y0)), y1))))
   MARK(cons(s(first(from(s(y0)), y1)), z1)) -> c11(MARK(s(first(from(s(y0)), y1))))
   MARK(cons(s(first(from(cons(y0, y1)), y2)), z1)) -> c11(MARK(s(first(from(cons(y0, y1)), y2))))
   MARK(cons(s(first(from(y0), y1)), z1)) -> c11(MARK(s(first(from(y0), y1))))
   MARK(cons(s(first(from(y0), 0)), z1)) -> c11(MARK(s(first(from(y0), 0))))
   MARK(cons(s(first(from(y0), nil)), z1)) -> c11(MARK(s(first(from(y0), nil))))
   MARK(cons(s(first(from(y0), s(y1))), z1)) -> c11(MARK(s(first(from(y0), s(y1)))))
   MARK(cons(s(first(s(first(y0, y1)), y2)), z1)) -> c11(MARK(s(first(s(first(y0, y1)), y2))))
   MARK(cons(s(first(s(from(y0)), y1)), z1)) -> c11(MARK(s(first(s(from(y0)), y1))))
   MARK(cons(s(first(s(0), y0)), z1)) -> c11(MARK(s(first(s(0), y0))))
   MARK(cons(s(first(s(nil), y0)), z1)) -> c11(MARK(s(first(s(nil), y0))))
   MARK(cons(s(first(s(s(y0)), y1)), z1)) -> c11(MARK(s(first(s(s(y0)), y1))))
   MARK(cons(s(first(s(cons(y0, y1)), y2)), z1)) -> c11(MARK(s(first(s(cons(y0, y1)), y2))))
   MARK(cons(s(first(s(y0), y1)), z1)) -> c11(MARK(s(first(s(y0), y1))))
   MARK(cons(s(first(s(y0), 0)), z1)) -> c11(MARK(s(first(s(y0), 0))))
   MARK(cons(s(first(s(y0), nil)), z1)) -> c11(MARK(s(first(s(y0), nil))))
   MARK(cons(s(first(s(y0), s(y1))), z1)) -> c11(MARK(s(first(s(y0), s(y1)))))
   MARK(cons(s(first(0, first(y0, y1))), z1)) -> c11(MARK(s(first(0, first(y0, y1)))))
   MARK(cons(s(first(nil, first(y0, y1))), z1)) -> c11(MARK(s(first(nil, first(y0, y1)))))
   MARK(cons(s(first(0, from(y0))), z1)) -> c11(MARK(s(first(0, from(y0)))))
   MARK(cons(s(first(nil, from(y0))), z1)) -> c11(MARK(s(first(nil, from(y0)))))
   MARK(cons(s(first(y0, cons(y1, y2))), z1)) -> c11(MARK(s(first(y0, cons(y1, y2)))))
   MARK(cons(s(first(0, cons(y0, y1))), z1)) -> c11(MARK(s(first(0, cons(y0, y1)))))
   MARK(cons(s(first(nil, cons(y0, y1))), z1)) -> c11(MARK(s(first(nil, cons(y0, y1)))))
   MARK(cons(s(first(from(0), y0)), z1)) -> c11(MARK(s(first(from(0), y0))))
   MARK(cons(s(first(from(nil), y0)), z1)) -> c11(MARK(s(first(from(nil), y0))))
   MARK(cons(s(first(y0, cons(0, y1))), z1)) -> c11(MARK(s(first(y0, cons(0, y1)))))
   MARK(cons(s(first(y0, cons(nil, y1))), z1)) -> c11(MARK(s(first(y0, cons(nil, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c11(MARK(s(from(s(y0)))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(first(y0, y1))), z1)) -> c11(MARK(s(from(first(y0, y1)))))
   MARK(cons(s(from(first(y0, first(y1, y2)))), z1)) -> c11(MARK(s(from(first(y0, first(y1, y2))))))
   MARK(cons(s(from(first(y0, from(y1)))), z1)) -> c11(MARK(s(from(first(y0, from(y1))))))
   MARK(cons(s(from(first(y0, 0))), z1)) -> c11(MARK(s(from(first(y0, 0)))))
   MARK(cons(s(from(first(y0, nil))), z1)) -> c11(MARK(s(from(first(y0, nil)))))
   MARK(cons(s(from(first(y0, s(y1)))), z1)) -> c11(MARK(s(from(first(y0, s(y1))))))
   MARK(cons(s(from(first(y0, cons(y1, y2)))), z1)) -> c11(MARK(s(from(first(y0, cons(y1, y2))))))
   MARK(cons(s(from(first(first(y0, y1), y2))), z1)) -> c11(MARK(s(from(first(first(y0, y1), y2)))))
   MARK(cons(s(from(first(from(y0), y1))), z1)) -> c11(MARK(s(from(first(from(y0), y1)))))
   MARK(cons(s(from(first(0, y0))), z1)) -> c11(MARK(s(from(first(0, y0)))))
   MARK(cons(s(from(first(nil, y0))), z1)) -> c11(MARK(s(from(first(nil, y0)))))
   MARK(cons(s(from(first(s(y0), y1))), z1)) -> c11(MARK(s(from(first(s(y0), y1)))))
   MARK(cons(s(from(first(cons(y0, y1), y2))), z1)) -> c11(MARK(s(from(first(cons(y0, y1), y2)))))
   MARK(cons(s(from(from(y0))), z1)) -> c11(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(first(y0, y1)))), z1)) -> c11(MARK(s(from(from(first(y0, y1))))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c11(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c11(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(0))), z1)) -> c11(MARK(s(from(from(0)))))
   MARK(cons(s(from(from(nil))), z1)) -> c11(MARK(s(from(from(nil)))))
S tuples:
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
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   MARK(cons(from(from(0)), z1)) -> c11(MARK(from(from(0))))
   MARK(cons(from(from(nil)), z1)) -> c11(MARK(from(from(nil))))
   MARK(cons(s(s(y0)), z1)) -> c11(MARK(s(s(y0))))
   MARK(cons(s(cons(y0, y1)), z1)) -> c11(MARK(s(cons(y0, y1))))
   MARK(cons(s(first(y0, 0)), z1)) -> c11(MARK(s(first(y0, 0))))
   MARK(cons(s(first(y0, nil)), z1)) -> c11(MARK(s(first(y0, nil))))
   MARK(cons(s(first(y0, s(y1))), z1)) -> c11(MARK(s(first(y0, s(y1)))))
   MARK(cons(s(first(cons(y0, y1), y2)), z1)) -> c11(MARK(s(first(cons(y0, y1), y2))))
   MARK(cons(s(first(0, y0)), z1)) -> c11(MARK(s(first(0, y0))))
   MARK(cons(s(first(nil, y0)), z1)) -> c11(MARK(s(first(nil, y0))))
   MARK(cons(s(first(y0, first(y1, first(y2, y3)))), z1)) -> c11(MARK(s(first(y0, first(y1, first(y2, y3))))))
   MARK(cons(s(first(y0, first(y1, from(y2)))), z1)) -> c11(MARK(s(first(y0, first(y1, from(y2))))))
   MARK(cons(s(first(y0, first(y1, 0))), z1)) -> c11(MARK(s(first(y0, first(y1, 0)))))
   MARK(cons(s(first(y0, first(y1, nil))), z1)) -> c11(MARK(s(first(y0, first(y1, nil)))))
   MARK(cons(s(first(y0, first(y1, s(y2)))), z1)) -> c11(MARK(s(first(y0, first(y1, s(y2))))))
   MARK(cons(s(first(y0, first(y1, cons(y2, y3)))), z1)) -> c11(MARK(s(first(y0, first(y1, cons(y2, y3))))))
   MARK(cons(s(first(y0, first(first(y1, y2), y3))), z1)) -> c11(MARK(s(first(y0, first(first(y1, y2), y3)))))
   MARK(cons(s(first(y0, first(from(y1), y2))), z1)) -> c11(MARK(s(first(y0, first(from(y1), y2)))))
   MARK(cons(s(first(y0, first(0, y1))), z1)) -> c11(MARK(s(first(y0, first(0, y1)))))
   MARK(cons(s(first(y0, first(nil, y1))), z1)) -> c11(MARK(s(first(y0, first(nil, y1)))))
   MARK(cons(s(first(y0, first(s(y1), y2))), z1)) -> c11(MARK(s(first(y0, first(s(y1), y2)))))
   MARK(cons(s(first(y0, first(cons(y1, y2), y3))), z1)) -> c11(MARK(s(first(y0, first(cons(y1, y2), y3)))))
   MARK(cons(s(first(first(y0, y1), first(y2, y3))), z1)) -> c11(MARK(s(first(first(y0, y1), first(y2, y3)))))
   MARK(cons(s(first(from(y0), first(y1, y2))), z1)) -> c11(MARK(s(first(from(y0), first(y1, y2)))))
   MARK(cons(s(first(s(y0), first(y1, y2))), z1)) -> c11(MARK(s(first(s(y0), first(y1, y2)))))
   MARK(cons(s(first(y0, first(y1, y2))), z1)) -> c11(MARK(s(first(y0, first(y1, y2)))))
   MARK(cons(s(first(cons(y0, y1), first(y2, y3))), z1)) -> c11(MARK(s(first(cons(y0, y1), first(y2, y3)))))
   MARK(cons(s(first(y0, from(y1))), z1)) -> c11(MARK(s(first(y0, from(y1)))))
   MARK(cons(s(first(y0, from(first(y1, y2)))), z1)) -> c11(MARK(s(first(y0, from(first(y1, y2))))))
   MARK(cons(s(first(y0, from(from(y1)))), z1)) -> c11(MARK(s(first(y0, from(from(y1))))))
   MARK(cons(s(first(y0, from(0))), z1)) -> c11(MARK(s(first(y0, from(0)))))
   MARK(cons(s(first(y0, from(nil))), z1)) -> c11(MARK(s(first(y0, from(nil)))))
   MARK(cons(s(first(y0, from(s(y1)))), z1)) -> c11(MARK(s(first(y0, from(s(y1))))))
   MARK(cons(s(first(y0, from(cons(y1, y2)))), z1)) -> c11(MARK(s(first(y0, from(cons(y1, y2))))))
   MARK(cons(s(first(first(y0, y1), from(y2))), z1)) -> c11(MARK(s(first(first(y0, y1), from(y2)))))
   MARK(cons(s(first(from(y0), from(y1))), z1)) -> c11(MARK(s(first(from(y0), from(y1)))))
   MARK(cons(s(first(s(y0), from(y1))), z1)) -> c11(MARK(s(first(s(y0), from(y1)))))
   MARK(cons(s(first(cons(y0, y1), from(y2))), z1)) -> c11(MARK(s(first(cons(y0, y1), from(y2)))))
   MARK(cons(s(first(y0, cons(first(y1, y2), y3))), z1)) -> c11(MARK(s(first(y0, cons(first(y1, y2), y3)))))
   MARK(cons(s(first(y0, cons(from(y1), y2))), z1)) -> c11(MARK(s(first(y0, cons(from(y1), y2)))))
   MARK(cons(s(first(y0, cons(s(y1), y2))), z1)) -> c11(MARK(s(first(y0, cons(s(y1), y2)))))
   MARK(cons(s(first(y0, cons(cons(y1, y2), y3))), z1)) -> c11(MARK(s(first(y0, cons(cons(y1, y2), y3)))))
   MARK(cons(s(first(first(y0, y1), cons(y2, y3))), z1)) -> c11(MARK(s(first(first(y0, y1), cons(y2, y3)))))
   MARK(cons(s(first(from(y0), cons(y1, y2))), z1)) -> c11(MARK(s(first(from(y0), cons(y1, y2)))))
   MARK(cons(s(first(s(y0), cons(y1, y2))), z1)) -> c11(MARK(s(first(s(y0), cons(y1, y2)))))
   MARK(cons(s(first(cons(y0, y1), cons(y2, y3))), z1)) -> c11(MARK(s(first(cons(y0, y1), cons(y2, y3)))))
   MARK(cons(s(first(first(y0, first(y1, y2)), y3)), z1)) -> c11(MARK(s(first(first(y0, first(y1, y2)), y3))))
   MARK(cons(s(first(first(y0, from(y1)), y2)), z1)) -> c11(MARK(s(first(first(y0, from(y1)), y2))))
   MARK(cons(s(first(first(y0, 0), y1)), z1)) -> c11(MARK(s(first(first(y0, 0), y1))))
   MARK(cons(s(first(first(y0, nil), y1)), z1)) -> c11(MARK(s(first(first(y0, nil), y1))))
   MARK(cons(s(first(first(y0, s(y1)), y2)), z1)) -> c11(MARK(s(first(first(y0, s(y1)), y2))))
   MARK(cons(s(first(first(y0, cons(y1, y2)), y3)), z1)) -> c11(MARK(s(first(first(y0, cons(y1, y2)), y3))))
   MARK(cons(s(first(first(first(y0, y1), y2), y3)), z1)) -> c11(MARK(s(first(first(first(y0, y1), y2), y3))))
   MARK(cons(s(first(first(from(y0), y1), y2)), z1)) -> c11(MARK(s(first(first(from(y0), y1), y2))))
   MARK(cons(s(first(first(0, y0), y1)), z1)) -> c11(MARK(s(first(first(0, y0), y1))))
   MARK(cons(s(first(first(nil, y0), y1)), z1)) -> c11(MARK(s(first(first(nil, y0), y1))))
   MARK(cons(s(first(first(s(y0), y1), y2)), z1)) -> c11(MARK(s(first(first(s(y0), y1), y2))))
   MARK(cons(s(first(first(cons(y0, y1), y2), y3)), z1)) -> c11(MARK(s(first(first(cons(y0, y1), y2), y3))))
   MARK(cons(s(first(first(y0, y1), 0)), z1)) -> c11(MARK(s(first(first(y0, y1), 0))))
   MARK(cons(s(first(first(y0, y1), nil)), z1)) -> c11(MARK(s(first(first(y0, y1), nil))))
   MARK(cons(s(first(first(y0, y1), s(y2))), z1)) -> c11(MARK(s(first(first(y0, y1), s(y2)))))
   MARK(cons(s(first(first(y0, y1), y2)), z1)) -> c11(MARK(s(first(first(y0, y1), y2))))
   MARK(cons(s(first(from(first(y0, y1)), y2)), z1)) -> c11(MARK(s(first(from(first(y0, y1)), y2))))
   MARK(cons(s(first(from(from(y0)), y1)), z1)) -> c11(MARK(s(first(from(from(y0)), y1))))
   MARK(cons(s(first(from(s(y0)), y1)), z1)) -> c11(MARK(s(first(from(s(y0)), y1))))
   MARK(cons(s(first(from(cons(y0, y1)), y2)), z1)) -> c11(MARK(s(first(from(cons(y0, y1)), y2))))
   MARK(cons(s(first(from(y0), y1)), z1)) -> c11(MARK(s(first(from(y0), y1))))
   MARK(cons(s(first(from(y0), 0)), z1)) -> c11(MARK(s(first(from(y0), 0))))
   MARK(cons(s(first(from(y0), nil)), z1)) -> c11(MARK(s(first(from(y0), nil))))
   MARK(cons(s(first(from(y0), s(y1))), z1)) -> c11(MARK(s(first(from(y0), s(y1)))))
   MARK(cons(s(first(s(first(y0, y1)), y2)), z1)) -> c11(MARK(s(first(s(first(y0, y1)), y2))))
   MARK(cons(s(first(s(from(y0)), y1)), z1)) -> c11(MARK(s(first(s(from(y0)), y1))))
   MARK(cons(s(first(s(0), y0)), z1)) -> c11(MARK(s(first(s(0), y0))))
   MARK(cons(s(first(s(nil), y0)), z1)) -> c11(MARK(s(first(s(nil), y0))))
   MARK(cons(s(first(s(s(y0)), y1)), z1)) -> c11(MARK(s(first(s(s(y0)), y1))))
   MARK(cons(s(first(s(cons(y0, y1)), y2)), z1)) -> c11(MARK(s(first(s(cons(y0, y1)), y2))))
   MARK(cons(s(first(s(y0), y1)), z1)) -> c11(MARK(s(first(s(y0), y1))))
   MARK(cons(s(first(s(y0), 0)), z1)) -> c11(MARK(s(first(s(y0), 0))))
   MARK(cons(s(first(s(y0), nil)), z1)) -> c11(MARK(s(first(s(y0), nil))))
   MARK(cons(s(first(s(y0), s(y1))), z1)) -> c11(MARK(s(first(s(y0), s(y1)))))
   MARK(cons(s(first(0, first(y0, y1))), z1)) -> c11(MARK(s(first(0, first(y0, y1)))))
   MARK(cons(s(first(nil, first(y0, y1))), z1)) -> c11(MARK(s(first(nil, first(y0, y1)))))
   MARK(cons(s(first(0, from(y0))), z1)) -> c11(MARK(s(first(0, from(y0)))))
   MARK(cons(s(first(nil, from(y0))), z1)) -> c11(MARK(s(first(nil, from(y0)))))
   MARK(cons(s(first(y0, cons(y1, y2))), z1)) -> c11(MARK(s(first(y0, cons(y1, y2)))))
   MARK(cons(s(first(0, cons(y0, y1))), z1)) -> c11(MARK(s(first(0, cons(y0, y1)))))
   MARK(cons(s(first(nil, cons(y0, y1))), z1)) -> c11(MARK(s(first(nil, cons(y0, y1)))))
   MARK(cons(s(first(from(0), y0)), z1)) -> c11(MARK(s(first(from(0), y0))))
   MARK(cons(s(first(from(nil), y0)), z1)) -> c11(MARK(s(first(from(nil), y0))))
   MARK(cons(s(first(y0, cons(0, y1))), z1)) -> c11(MARK(s(first(y0, cons(0, y1)))))
   MARK(cons(s(first(y0, cons(nil, y1))), z1)) -> c11(MARK(s(first(y0, cons(nil, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c11(MARK(s(from(s(y0)))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(first(y0, y1))), z1)) -> c11(MARK(s(from(first(y0, y1)))))
   MARK(cons(s(from(first(y0, first(y1, y2)))), z1)) -> c11(MARK(s(from(first(y0, first(y1, y2))))))
   MARK(cons(s(from(first(y0, from(y1)))), z1)) -> c11(MARK(s(from(first(y0, from(y1))))))
   MARK(cons(s(from(first(y0, 0))), z1)) -> c11(MARK(s(from(first(y0, 0)))))
   MARK(cons(s(from(first(y0, nil))), z1)) -> c11(MARK(s(from(first(y0, nil)))))
   MARK(cons(s(from(first(y0, s(y1)))), z1)) -> c11(MARK(s(from(first(y0, s(y1))))))
   MARK(cons(s(from(first(y0, cons(y1, y2)))), z1)) -> c11(MARK(s(from(first(y0, cons(y1, y2))))))
   MARK(cons(s(from(first(first(y0, y1), y2))), z1)) -> c11(MARK(s(from(first(first(y0, y1), y2)))))
   MARK(cons(s(from(first(from(y0), y1))), z1)) -> c11(MARK(s(from(first(from(y0), y1)))))
   MARK(cons(s(from(first(0, y0))), z1)) -> c11(MARK(s(from(first(0, y0)))))
   MARK(cons(s(from(first(nil, y0))), z1)) -> c11(MARK(s(from(first(nil, y0)))))
   MARK(cons(s(from(first(s(y0), y1))), z1)) -> c11(MARK(s(from(first(s(y0), y1)))))
   MARK(cons(s(from(first(cons(y0, y1), y2))), z1)) -> c11(MARK(s(from(first(cons(y0, y1), y2)))))
   MARK(cons(s(from(from(y0))), z1)) -> c11(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(first(y0, y1)))), z1)) -> c11(MARK(s(from(from(first(y0, y1))))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c11(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c11(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(0))), z1)) -> c11(MARK(s(from(from(0)))))
   MARK(cons(s(from(from(nil))), z1)) -> c11(MARK(s(from(from(nil)))))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c5_1, c6_1, c5_2, c6_2, c1_1, c3_1, c7_2, c7_1, c10_1, c11_1


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

(159) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(first(x0, cons(nil, x2))) -> c6(MARK(cons(nil, x2)))
   MARK(first(x0, cons(0, x2))) -> c6(MARK(cons(0, x2)))

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

(160)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
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   MARK(cons(s(first(from(y0), from(y1))), z1)) -> c11(MARK(s(first(from(y0), from(y1)))))
   MARK(cons(s(first(s(y0), from(y1))), z1)) -> c11(MARK(s(first(s(y0), from(y1)))))
   MARK(cons(s(first(cons(y0, y1), from(y2))), z1)) -> c11(MARK(s(first(cons(y0, y1), from(y2)))))
   MARK(cons(s(first(y0, cons(first(y1, y2), y3))), z1)) -> c11(MARK(s(first(y0, cons(first(y1, y2), y3)))))
   MARK(cons(s(first(y0, cons(from(y1), y2))), z1)) -> c11(MARK(s(first(y0, cons(from(y1), y2)))))
   MARK(cons(s(first(y0, cons(s(y1), y2))), z1)) -> c11(MARK(s(first(y0, cons(s(y1), y2)))))
   MARK(cons(s(first(y0, cons(cons(y1, y2), y3))), z1)) -> c11(MARK(s(first(y0, cons(cons(y1, y2), y3)))))
   MARK(cons(s(first(first(y0, y1), cons(y2, y3))), z1)) -> c11(MARK(s(first(first(y0, y1), cons(y2, y3)))))
   MARK(cons(s(first(from(y0), cons(y1, y2))), z1)) -> c11(MARK(s(first(from(y0), cons(y1, y2)))))
   MARK(cons(s(first(s(y0), cons(y1, y2))), z1)) -> c11(MARK(s(first(s(y0), cons(y1, y2)))))
   MARK(cons(s(first(cons(y0, y1), cons(y2, y3))), z1)) -> c11(MARK(s(first(cons(y0, y1), cons(y2, y3)))))
   MARK(cons(s(first(first(y0, first(y1, y2)), y3)), z1)) -> c11(MARK(s(first(first(y0, first(y1, y2)), y3))))
   MARK(cons(s(first(first(y0, from(y1)), y2)), z1)) -> c11(MARK(s(first(first(y0, from(y1)), y2))))
   MARK(cons(s(first(first(y0, 0), y1)), z1)) -> c11(MARK(s(first(first(y0, 0), y1))))
   MARK(cons(s(first(first(y0, nil), y1)), z1)) -> c11(MARK(s(first(first(y0, nil), y1))))
   MARK(cons(s(first(first(y0, s(y1)), y2)), z1)) -> c11(MARK(s(first(first(y0, s(y1)), y2))))
   MARK(cons(s(first(first(y0, cons(y1, y2)), y3)), z1)) -> c11(MARK(s(first(first(y0, cons(y1, y2)), y3))))
   MARK(cons(s(first(first(first(y0, y1), y2), y3)), z1)) -> c11(MARK(s(first(first(first(y0, y1), y2), y3))))
   MARK(cons(s(first(first(from(y0), y1), y2)), z1)) -> c11(MARK(s(first(first(from(y0), y1), y2))))
   MARK(cons(s(first(first(0, y0), y1)), z1)) -> c11(MARK(s(first(first(0, y0), y1))))
   MARK(cons(s(first(first(nil, y0), y1)), z1)) -> c11(MARK(s(first(first(nil, y0), y1))))
   MARK(cons(s(first(first(s(y0), y1), y2)), z1)) -> c11(MARK(s(first(first(s(y0), y1), y2))))
   MARK(cons(s(first(first(cons(y0, y1), y2), y3)), z1)) -> c11(MARK(s(first(first(cons(y0, y1), y2), y3))))
   MARK(cons(s(first(first(y0, y1), 0)), z1)) -> c11(MARK(s(first(first(y0, y1), 0))))
   MARK(cons(s(first(first(y0, y1), nil)), z1)) -> c11(MARK(s(first(first(y0, y1), nil))))
   MARK(cons(s(first(first(y0, y1), s(y2))), z1)) -> c11(MARK(s(first(first(y0, y1), s(y2)))))
   MARK(cons(s(first(first(y0, y1), y2)), z1)) -> c11(MARK(s(first(first(y0, y1), y2))))
   MARK(cons(s(first(from(first(y0, y1)), y2)), z1)) -> c11(MARK(s(first(from(first(y0, y1)), y2))))
   MARK(cons(s(first(from(from(y0)), y1)), z1)) -> c11(MARK(s(first(from(from(y0)), y1))))
   MARK(cons(s(first(from(s(y0)), y1)), z1)) -> c11(MARK(s(first(from(s(y0)), y1))))
   MARK(cons(s(first(from(cons(y0, y1)), y2)), z1)) -> c11(MARK(s(first(from(cons(y0, y1)), y2))))
   MARK(cons(s(first(from(y0), y1)), z1)) -> c11(MARK(s(first(from(y0), y1))))
   MARK(cons(s(first(from(y0), 0)), z1)) -> c11(MARK(s(first(from(y0), 0))))
   MARK(cons(s(first(from(y0), nil)), z1)) -> c11(MARK(s(first(from(y0), nil))))
   MARK(cons(s(first(from(y0), s(y1))), z1)) -> c11(MARK(s(first(from(y0), s(y1)))))
   MARK(cons(s(first(s(first(y0, y1)), y2)), z1)) -> c11(MARK(s(first(s(first(y0, y1)), y2))))
   MARK(cons(s(first(s(from(y0)), y1)), z1)) -> c11(MARK(s(first(s(from(y0)), y1))))
   MARK(cons(s(first(s(0), y0)), z1)) -> c11(MARK(s(first(s(0), y0))))
   MARK(cons(s(first(s(nil), y0)), z1)) -> c11(MARK(s(first(s(nil), y0))))
   MARK(cons(s(first(s(s(y0)), y1)), z1)) -> c11(MARK(s(first(s(s(y0)), y1))))
   MARK(cons(s(first(s(cons(y0, y1)), y2)), z1)) -> c11(MARK(s(first(s(cons(y0, y1)), y2))))
   MARK(cons(s(first(s(y0), y1)), z1)) -> c11(MARK(s(first(s(y0), y1))))
   MARK(cons(s(first(s(y0), 0)), z1)) -> c11(MARK(s(first(s(y0), 0))))
   MARK(cons(s(first(s(y0), nil)), z1)) -> c11(MARK(s(first(s(y0), nil))))
   MARK(cons(s(first(s(y0), s(y1))), z1)) -> c11(MARK(s(first(s(y0), s(y1)))))
   MARK(cons(s(first(0, first(y0, y1))), z1)) -> c11(MARK(s(first(0, first(y0, y1)))))
   MARK(cons(s(first(nil, first(y0, y1))), z1)) -> c11(MARK(s(first(nil, first(y0, y1)))))
   MARK(cons(s(first(0, from(y0))), z1)) -> c11(MARK(s(first(0, from(y0)))))
   MARK(cons(s(first(nil, from(y0))), z1)) -> c11(MARK(s(first(nil, from(y0)))))
   MARK(cons(s(first(y0, cons(y1, y2))), z1)) -> c11(MARK(s(first(y0, cons(y1, y2)))))
   MARK(cons(s(first(0, cons(y0, y1))), z1)) -> c11(MARK(s(first(0, cons(y0, y1)))))
   MARK(cons(s(first(nil, cons(y0, y1))), z1)) -> c11(MARK(s(first(nil, cons(y0, y1)))))
   MARK(cons(s(first(from(0), y0)), z1)) -> c11(MARK(s(first(from(0), y0))))
   MARK(cons(s(first(from(nil), y0)), z1)) -> c11(MARK(s(first(from(nil), y0))))
   MARK(cons(s(first(y0, cons(0, y1))), z1)) -> c11(MARK(s(first(y0, cons(0, y1)))))
   MARK(cons(s(first(y0, cons(nil, y1))), z1)) -> c11(MARK(s(first(y0, cons(nil, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c11(MARK(s(from(s(y0)))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(first(y0, y1))), z1)) -> c11(MARK(s(from(first(y0, y1)))))
   MARK(cons(s(from(first(y0, first(y1, y2)))), z1)) -> c11(MARK(s(from(first(y0, first(y1, y2))))))
   MARK(cons(s(from(first(y0, from(y1)))), z1)) -> c11(MARK(s(from(first(y0, from(y1))))))
   MARK(cons(s(from(first(y0, 0))), z1)) -> c11(MARK(s(from(first(y0, 0)))))
   MARK(cons(s(from(first(y0, nil))), z1)) -> c11(MARK(s(from(first(y0, nil)))))
   MARK(cons(s(from(first(y0, s(y1)))), z1)) -> c11(MARK(s(from(first(y0, s(y1))))))
   MARK(cons(s(from(first(y0, cons(y1, y2)))), z1)) -> c11(MARK(s(from(first(y0, cons(y1, y2))))))
   MARK(cons(s(from(first(first(y0, y1), y2))), z1)) -> c11(MARK(s(from(first(first(y0, y1), y2)))))
   MARK(cons(s(from(first(from(y0), y1))), z1)) -> c11(MARK(s(from(first(from(y0), y1)))))
   MARK(cons(s(from(first(0, y0))), z1)) -> c11(MARK(s(from(first(0, y0)))))
   MARK(cons(s(from(first(nil, y0))), z1)) -> c11(MARK(s(from(first(nil, y0)))))
   MARK(cons(s(from(first(s(y0), y1))), z1)) -> c11(MARK(s(from(first(s(y0), y1)))))
   MARK(cons(s(from(first(cons(y0, y1), y2))), z1)) -> c11(MARK(s(from(first(cons(y0, y1), y2)))))
   MARK(cons(s(from(from(y0))), z1)) -> c11(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(first(y0, y1)))), z1)) -> c11(MARK(s(from(from(first(y0, y1))))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c11(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c11(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(0))), z1)) -> c11(MARK(s(from(from(0)))))
   MARK(cons(s(from(from(nil))), z1)) -> c11(MARK(s(from(from(nil)))))
S tuples:
   MARK(first(x0, 0)) -> c5(MARK(x0))
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
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   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
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   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
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   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
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   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
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   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
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   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
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   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
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   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
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   A__FIRST(s(z0), cons(s(y0), z2)) -> c1(MARK(s(y0)))
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   A__FIRST(s(z0), cons(first(y0, 0), z2)) -> c1(MARK(first(y0, 0)))
   A__FIRST(s(z0), cons(first(y0, nil), z2)) -> c1(MARK(first(y0, nil)))
   A__FIRST(s(z0), cons(first(y0, s(y1)), z2)) -> c1(MARK(first(y0, s(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), y2), z2)) -> c1(MARK(first(cons(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(0, y0), z2)) -> c1(MARK(first(0, y0)))
   A__FIRST(s(z0), cons(first(nil, y0), z2)) -> c1(MARK(first(nil, y0)))
   A__FIRST(s(z0), cons(first(y0, first(y1, first(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, from(y2))), z2)) -> c1(MARK(first(y0, first(y1, from(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, 0)), z2)) -> c1(MARK(first(y0, first(y1, 0))))
   A__FIRST(s(z0), cons(first(y0, first(y1, nil)), z2)) -> c1(MARK(first(y0, first(y1, nil))))
   A__FIRST(s(z0), cons(first(y0, first(y1, s(y2))), z2)) -> c1(MARK(first(y0, first(y1, s(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, cons(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, first(from(y1), y2)), z2)) -> c1(MARK(first(y0, first(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(0, y1)), z2)) -> c1(MARK(first(y0, first(0, y1))))
   A__FIRST(s(z0), cons(first(y0, first(nil, y1)), z2)) -> c1(MARK(first(y0, first(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, first(s(y1), y2)), z2)) -> c1(MARK(first(y0, first(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), first(y1, y2)), z2)) -> c1(MARK(first(from(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), first(y1, y2)), z2)) -> c1(MARK(first(s(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
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   MARK(cons(from(first(first(y0, y1), y2)), z1)) -> c11(MARK(from(first(first(y0, y1), y2))))
   MARK(cons(from(first(from(y0), y1)), z1)) -> c11(MARK(from(first(from(y0), y1))))
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   MARK(cons(from(first(nil, y0)), z1)) -> c11(MARK(from(first(nil, y0))))
   MARK(cons(from(first(s(y0), y1)), z1)) -> c11(MARK(from(first(s(y0), y1))))
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   MARK(cons(from(from(first(y0, y1))), z1)) -> c11(MARK(from(from(first(y0, y1)))))
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   MARK(cons(s(first(y0, s(y1))), z1)) -> c11(MARK(s(first(y0, s(y1)))))
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   MARK(cons(s(first(s(cons(y0, y1)), y2)), z1)) -> c11(MARK(s(first(s(cons(y0, y1)), y2))))
   MARK(cons(s(first(s(y0), y1)), z1)) -> c11(MARK(s(first(s(y0), y1))))
   MARK(cons(s(first(s(y0), 0)), z1)) -> c11(MARK(s(first(s(y0), 0))))
   MARK(cons(s(first(s(y0), nil)), z1)) -> c11(MARK(s(first(s(y0), nil))))
   MARK(cons(s(first(s(y0), s(y1))), z1)) -> c11(MARK(s(first(s(y0), s(y1)))))
   MARK(cons(s(first(0, first(y0, y1))), z1)) -> c11(MARK(s(first(0, first(y0, y1)))))
   MARK(cons(s(first(nil, first(y0, y1))), z1)) -> c11(MARK(s(first(nil, first(y0, y1)))))
   MARK(cons(s(first(0, from(y0))), z1)) -> c11(MARK(s(first(0, from(y0)))))
   MARK(cons(s(first(nil, from(y0))), z1)) -> c11(MARK(s(first(nil, from(y0)))))
   MARK(cons(s(first(y0, cons(y1, y2))), z1)) -> c11(MARK(s(first(y0, cons(y1, y2)))))
   MARK(cons(s(first(0, cons(y0, y1))), z1)) -> c11(MARK(s(first(0, cons(y0, y1)))))
   MARK(cons(s(first(nil, cons(y0, y1))), z1)) -> c11(MARK(s(first(nil, cons(y0, y1)))))
   MARK(cons(s(first(from(0), y0)), z1)) -> c11(MARK(s(first(from(0), y0))))
   MARK(cons(s(first(from(nil), y0)), z1)) -> c11(MARK(s(first(from(nil), y0))))
   MARK(cons(s(first(y0, cons(0, y1))), z1)) -> c11(MARK(s(first(y0, cons(0, y1)))))
   MARK(cons(s(first(y0, cons(nil, y1))), z1)) -> c11(MARK(s(first(y0, cons(nil, y1)))))
   MARK(cons(s(from(s(y0))), z1)) -> c11(MARK(s(from(s(y0)))))
   MARK(cons(s(from(cons(y0, y1))), z1)) -> c11(MARK(s(from(cons(y0, y1)))))
   MARK(cons(s(from(first(y0, y1))), z1)) -> c11(MARK(s(from(first(y0, y1)))))
   MARK(cons(s(from(first(y0, first(y1, y2)))), z1)) -> c11(MARK(s(from(first(y0, first(y1, y2))))))
   MARK(cons(s(from(first(y0, from(y1)))), z1)) -> c11(MARK(s(from(first(y0, from(y1))))))
   MARK(cons(s(from(first(y0, 0))), z1)) -> c11(MARK(s(from(first(y0, 0)))))
   MARK(cons(s(from(first(y0, nil))), z1)) -> c11(MARK(s(from(first(y0, nil)))))
   MARK(cons(s(from(first(y0, s(y1)))), z1)) -> c11(MARK(s(from(first(y0, s(y1))))))
   MARK(cons(s(from(first(y0, cons(y1, y2)))), z1)) -> c11(MARK(s(from(first(y0, cons(y1, y2))))))
   MARK(cons(s(from(first(first(y0, y1), y2))), z1)) -> c11(MARK(s(from(first(first(y0, y1), y2)))))
   MARK(cons(s(from(first(from(y0), y1))), z1)) -> c11(MARK(s(from(first(from(y0), y1)))))
   MARK(cons(s(from(first(0, y0))), z1)) -> c11(MARK(s(from(first(0, y0)))))
   MARK(cons(s(from(first(nil, y0))), z1)) -> c11(MARK(s(from(first(nil, y0)))))
   MARK(cons(s(from(first(s(y0), y1))), z1)) -> c11(MARK(s(from(first(s(y0), y1)))))
   MARK(cons(s(from(first(cons(y0, y1), y2))), z1)) -> c11(MARK(s(from(first(cons(y0, y1), y2)))))
   MARK(cons(s(from(from(y0))), z1)) -> c11(MARK(s(from(from(y0)))))
   MARK(cons(s(from(from(first(y0, y1)))), z1)) -> c11(MARK(s(from(from(first(y0, y1))))))
   MARK(cons(s(from(from(from(y0)))), z1)) -> c11(MARK(s(from(from(from(y0))))))
   MARK(cons(s(from(from(s(y0)))), z1)) -> c11(MARK(s(from(from(s(y0))))))
   MARK(cons(s(from(from(cons(y0, y1)))), z1)) -> c11(MARK(s(from(from(cons(y0, y1))))))
   MARK(cons(s(from(from(0))), z1)) -> c11(MARK(s(from(from(0)))))
   MARK(cons(s(from(from(nil))), z1)) -> c11(MARK(s(from(from(nil)))))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c5_1, c6_1, c5_2, c6_2, c1_1, c3_1, c7_2, c7_1, c10_1, c11_1


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

(161) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(first(x0, 0)) -> c5(MARK(x0)) by 
   MARK(first(first(y0, 0), 0)) -> c5(MARK(first(y0, 0)))
   MARK(first(first(y0, nil), 0)) -> c5(MARK(first(y0, nil)))
   MARK(first(first(y0, s(y1)), 0)) -> c5(MARK(first(y0, s(y1))))
   MARK(first(first(cons(y0, y1), y2), 0)) -> c5(MARK(first(cons(y0, y1), y2)))
   MARK(first(first(0, y0), 0)) -> c5(MARK(first(0, y0)))
   MARK(first(first(nil, y0), 0)) -> c5(MARK(first(nil, y0)))
   MARK(first(first(y0, first(y1, first(y2, y3))), 0)) -> c5(MARK(first(y0, first(y1, first(y2, y3)))))
   MARK(first(first(y0, first(y1, from(y2))), 0)) -> c5(MARK(first(y0, first(y1, from(y2)))))
   MARK(first(first(y0, first(y1, 0)), 0)) -> c5(MARK(first(y0, first(y1, 0))))
   MARK(first(first(y0, first(y1, nil)), 0)) -> c5(MARK(first(y0, first(y1, nil))))
   MARK(first(first(y0, first(y1, s(y2))), 0)) -> c5(MARK(first(y0, first(y1, s(y2)))))
   MARK(first(first(y0, first(y1, cons(y2, y3))), 0)) -> c5(MARK(first(y0, first(y1, cons(y2, y3)))))
   MARK(first(first(y0, first(first(y1, y2), y3)), 0)) -> c5(MARK(first(y0, first(first(y1, y2), y3))))
   MARK(first(first(y0, first(from(y1), y2)), 0)) -> c5(MARK(first(y0, first(from(y1), y2))))
   MARK(first(first(y0, first(0, y1)), 0)) -> c5(MARK(first(y0, first(0, y1))))
   MARK(first(first(y0, first(nil, y1)), 0)) -> c5(MARK(first(y0, first(nil, y1))))
   MARK(first(first(y0, first(s(y1), y2)), 0)) -> c5(MARK(first(y0, first(s(y1), y2))))
   MARK(first(first(y0, first(cons(y1, y2), y3)), 0)) -> c5(MARK(first(y0, first(cons(y1, y2), y3))))
   MARK(first(first(first(y0, y1), first(y2, y3)), 0)) -> c5(MARK(first(first(y0, y1), first(y2, y3))))
   MARK(first(first(from(y0), first(y1, y2)), 0)) -> c5(MARK(first(from(y0), first(y1, y2))))
   MARK(first(first(s(y0), first(y1, y2)), 0)) -> c5(MARK(first(s(y0), first(y1, y2))))
   MARK(first(first(y0, first(y1, y2)), 0)) -> c5(MARK(first(y0, first(y1, y2))))
   MARK(first(first(cons(y0, y1), first(y2, y3)), 0)) -> c5(MARK(first(cons(y0, y1), first(y2, y3))))
   MARK(first(first(y0, from(y1)), 0)) -> c5(MARK(first(y0, from(y1))))
   MARK(first(first(y0, from(first(y1, y2))), 0)) -> c5(MARK(first(y0, from(first(y1, y2)))))
   MARK(first(first(y0, from(from(y1))), 0)) -> c5(MARK(first(y0, from(from(y1)))))
   MARK(first(first(y0, from(0)), 0)) -> c5(MARK(first(y0, from(0))))
   MARK(first(first(y0, from(nil)), 0)) -> c5(MARK(first(y0, from(nil))))
   MARK(first(first(y0, from(s(y1))), 0)) -> c5(MARK(first(y0, from(s(y1)))))
   MARK(first(first(y0, from(cons(y1, y2))), 0)) -> c5(MARK(first(y0, from(cons(y1, y2)))))
   MARK(first(first(first(y0, y1), from(y2)), 0)) -> c5(MARK(first(first(y0, y1), from(y2))))
   MARK(first(first(from(y0), from(y1)), 0)) -> c5(MARK(first(from(y0), from(y1))))
   MARK(first(first(s(y0), from(y1)), 0)) -> c5(MARK(first(s(y0), from(y1))))
   MARK(first(first(cons(y0, y1), from(y2)), 0)) -> c5(MARK(first(cons(y0, y1), from(y2))))
   MARK(first(first(y0, cons(first(y1, y2), y3)), 0)) -> c5(MARK(first(y0, cons(first(y1, y2), y3))))
   MARK(first(first(y0, cons(from(y1), y2)), 0)) -> c5(MARK(first(y0, cons(from(y1), y2))))
   MARK(first(first(y0, cons(s(y1), y2)), 0)) -> c5(MARK(first(y0, cons(s(y1), y2))))
   MARK(first(first(y0, cons(cons(y1, y2), y3)), 0)) -> c5(MARK(first(y0, cons(cons(y1, y2), y3))))
   MARK(first(first(first(y0, y1), cons(y2, y3)), 0)) -> c5(MARK(first(first(y0, y1), cons(y2, y3))))
   MARK(first(first(from(y0), cons(y1, y2)), 0)) -> c5(MARK(first(from(y0), cons(y1, y2))))
   MARK(first(first(s(y0), cons(y1, y2)), 0)) -> c5(MARK(first(s(y0), cons(y1, y2))))
   MARK(first(first(cons(y0, y1), cons(y2, y3)), 0)) -> c5(MARK(first(cons(y0, y1), cons(y2, y3))))
   MARK(first(first(first(y0, first(y1, y2)), y3), 0)) -> c5(MARK(first(first(y0, first(y1, y2)), y3)))
   MARK(first(first(first(y0, from(y1)), y2), 0)) -> c5(MARK(first(first(y0, from(y1)), y2)))
   MARK(first(first(first(y0, 0), y1), 0)) -> c5(MARK(first(first(y0, 0), y1)))
   MARK(first(first(first(y0, nil), y1), 0)) -> c5(MARK(first(first(y0, nil), y1)))
   MARK(first(first(first(y0, s(y1)), y2), 0)) -> c5(MARK(first(first(y0, s(y1)), y2)))
   MARK(first(first(first(y0, cons(y1, y2)), y3), 0)) -> c5(MARK(first(first(y0, cons(y1, y2)), y3)))
   MARK(first(first(first(first(y0, y1), y2), y3), 0)) -> c5(MARK(first(first(first(y0, y1), y2), y3)))
   MARK(first(first(first(from(y0), y1), y2), 0)) -> c5(MARK(first(first(from(y0), y1), y2)))
   MARK(first(first(first(0, y0), y1), 0)) -> c5(MARK(first(first(0, y0), y1)))
   MARK(first(first(first(nil, y0), y1), 0)) -> c5(MARK(first(first(nil, y0), y1)))
   MARK(first(first(first(s(y0), y1), y2), 0)) -> c5(MARK(first(first(s(y0), y1), y2)))
   MARK(first(first(first(cons(y0, y1), y2), y3), 0)) -> c5(MARK(first(first(cons(y0, y1), y2), y3)))
   MARK(first(first(first(y0, y1), 0), 0)) -> c5(MARK(first(first(y0, y1), 0)))
   MARK(first(first(first(y0, y1), nil), 0)) -> c5(MARK(first(first(y0, y1), nil)))
   MARK(first(first(first(y0, y1), s(y2)), 0)) -> c5(MARK(first(first(y0, y1), s(y2))))
   MARK(first(first(first(y0, y1), y2), 0)) -> c5(MARK(first(first(y0, y1), y2)))
   MARK(first(first(from(first(y0, y1)), y2), 0)) -> c5(MARK(first(from(first(y0, y1)), y2)))
   MARK(first(first(from(from(y0)), y1), 0)) -> c5(MARK(first(from(from(y0)), y1)))
   MARK(first(first(from(s(y0)), y1), 0)) -> c5(MARK(first(from(s(y0)), y1)))
   MARK(first(first(from(cons(y0, y1)), y2), 0)) -> c5(MARK(first(from(cons(y0, y1)), y2)))
   MARK(first(first(from(y0), y1), 0)) -> c5(MARK(first(from(y0), y1)))
   MARK(first(first(from(y0), 0), 0)) -> c5(MARK(first(from(y0), 0)))
   MARK(first(first(from(y0), nil), 0)) -> c5(MARK(first(from(y0), nil)))
   MARK(first(first(from(y0), s(y1)), 0)) -> c5(MARK(first(from(y0), s(y1))))
   MARK(first(first(s(first(y0, y1)), y2), 0)) -> c5(MARK(first(s(first(y0, y1)), y2)))
   MARK(first(first(s(from(y0)), y1), 0)) -> c5(MARK(first(s(from(y0)), y1)))
   MARK(first(first(s(s(y0)), y1), 0)) -> c5(MARK(first(s(s(y0)), y1)))
   MARK(first(first(s(cons(y0, y1)), y2), 0)) -> c5(MARK(first(s(cons(y0, y1)), y2)))
   MARK(first(first(s(y0), y1), 0)) -> c5(MARK(first(s(y0), y1)))
   MARK(first(first(s(y0), 0), 0)) -> c5(MARK(first(s(y0), 0)))
   MARK(first(first(s(y0), nil), 0)) -> c5(MARK(first(s(y0), nil)))
   MARK(first(first(s(y0), s(y1)), 0)) -> c5(MARK(first(s(y0), s(y1))))
   MARK(first(first(0, first(y0, y1)), 0)) -> c5(MARK(first(0, first(y0, y1))))
   MARK(first(first(nil, first(y0, y1)), 0)) -> c5(MARK(first(nil, first(y0, y1))))
   MARK(first(first(0, from(y0)), 0)) -> c5(MARK(first(0, from(y0))))
   MARK(first(first(nil, from(y0)), 0)) -> c5(MARK(first(nil, from(y0))))
   MARK(first(first(y0, cons(y1, y2)), 0)) -> c5(MARK(first(y0, cons(y1, y2))))
   MARK(first(first(0, cons(y0, y1)), 0)) -> c5(MARK(first(0, cons(y0, y1))))
   MARK(first(first(nil, cons(y0, y1)), 0)) -> c5(MARK(first(nil, cons(y0, y1))))
   MARK(first(first(from(0), y0), 0)) -> c5(MARK(first(from(0), y0)))
   MARK(first(first(from(nil), y0), 0)) -> c5(MARK(first(from(nil), y0)))
   MARK(first(first(s(0), y0), 0)) -> c5(MARK(first(s(0), y0)))
   MARK(first(first(s(nil), y0), 0)) -> c5(MARK(first(s(nil), y0)))
   MARK(first(first(y0, cons(0, y1)), 0)) -> c5(MARK(first(y0, cons(0, y1))))
   MARK(first(first(y0, cons(nil, y1)), 0)) -> c5(MARK(first(y0, cons(nil, y1))))
   MARK(first(from(s(y0)), 0)) -> c5(MARK(from(s(y0))))
   MARK(first(from(cons(y0, y1)), 0)) -> c5(MARK(from(cons(y0, y1))))
   MARK(first(from(first(y0, y1)), 0)) -> c5(MARK(from(first(y0, y1))))
   MARK(first(from(first(y0, first(y1, y2))), 0)) -> c5(MARK(from(first(y0, first(y1, y2)))))
   MARK(first(from(first(y0, from(y1))), 0)) -> c5(MARK(from(first(y0, from(y1)))))
   MARK(first(from(first(y0, 0)), 0)) -> c5(MARK(from(first(y0, 0))))
   MARK(first(from(first(y0, nil)), 0)) -> c5(MARK(from(first(y0, nil))))
   MARK(first(from(first(y0, s(y1))), 0)) -> c5(MARK(from(first(y0, s(y1)))))
   MARK(first(from(first(y0, cons(y1, y2))), 0)) -> c5(MARK(from(first(y0, cons(y1, y2)))))
   MARK(first(from(first(first(y0, y1), y2)), 0)) -> c5(MARK(from(first(first(y0, y1), y2))))
   MARK(first(from(first(from(y0), y1)), 0)) -> c5(MARK(from(first(from(y0), y1))))
   MARK(first(from(first(0, y0)), 0)) -> c5(MARK(from(first(0, y0))))
   MARK(first(from(first(nil, y0)), 0)) -> c5(MARK(from(first(nil, y0))))
   MARK(first(from(first(s(y0), y1)), 0)) -> c5(MARK(from(first(s(y0), y1))))
   MARK(first(from(first(cons(y0, y1), y2)), 0)) -> c5(MARK(from(first(cons(y0, y1), y2))))
   MARK(first(from(from(y0)), 0)) -> c5(MARK(from(from(y0))))
   MARK(first(from(from(first(y0, y1))), 0)) -> c5(MARK(from(from(first(y0, y1)))))
   MARK(first(from(from(from(y0))), 0)) -> c5(MARK(from(from(from(y0)))))
   MARK(first(from(from(s(y0))), 0)) -> c5(MARK(from(from(s(y0)))))
   MARK(first(from(from(cons(y0, y1))), 0)) -> c5(MARK(from(from(cons(y0, y1)))))
   MARK(first(from(from(0)), 0)) -> c5(MARK(from(from(0))))
   MARK(first(from(from(nil)), 0)) -> c5(MARK(from(from(nil))))
   MARK(first(s(s(y0)), 0)) -> c5(MARK(s(s(y0))))
   MARK(first(s(cons(y0, y1)), 0)) -> c5(MARK(s(cons(y0, y1))))
   MARK(first(s(first(y0, 0)), 0)) -> c5(MARK(s(first(y0, 0))))
   MARK(first(s(first(y0, nil)), 0)) -> c5(MARK(s(first(y0, nil))))
   MARK(first(s(first(y0, s(y1))), 0)) -> c5(MARK(s(first(y0, s(y1)))))
   MARK(first(s(first(cons(y0, y1), y2)), 0)) -> c5(MARK(s(first(cons(y0, y1), y2))))
   MARK(first(s(first(0, y0)), 0)) -> c5(MARK(s(first(0, y0))))
   MARK(first(s(first(nil, y0)), 0)) -> c5(MARK(s(first(nil, y0))))
   MARK(first(s(first(y0, first(y1, first(y2, y3)))), 0)) -> c5(MARK(s(first(y0, first(y1, first(y2, y3))))))
   MARK(first(s(first(y0, first(y1, from(y2)))), 0)) -> c5(MARK(s(first(y0, first(y1, from(y2))))))
   MARK(first(s(first(y0, first(y1, 0))), 0)) -> c5(MARK(s(first(y0, first(y1, 0)))))
   MARK(first(s(first(y0, first(y1, nil))), 0)) -> c5(MARK(s(first(y0, first(y1, nil)))))
   MARK(first(s(first(y0, first(y1, s(y2)))), 0)) -> c5(MARK(s(first(y0, first(y1, s(y2))))))
   MARK(first(s(first(y0, first(y1, cons(y2, y3)))), 0)) -> c5(MARK(s(first(y0, first(y1, cons(y2, y3))))))
   MARK(first(s(first(y0, first(first(y1, y2), y3))), 0)) -> c5(MARK(s(first(y0, first(first(y1, y2), y3)))))
   MARK(first(s(first(y0, first(from(y1), y2))), 0)) -> c5(MARK(s(first(y0, first(from(y1), y2)))))
   MARK(first(s(first(y0, first(0, y1))), 0)) -> c5(MARK(s(first(y0, first(0, y1)))))
   MARK(first(s(first(y0, first(nil, y1))), 0)) -> c5(MARK(s(first(y0, first(nil, y1)))))
   MARK(first(s(first(y0, first(s(y1), y2))), 0)) -> c5(MARK(s(first(y0, first(s(y1), y2)))))
   MARK(first(s(first(y0, first(cons(y1, y2), y3))), 0)) -> c5(MARK(s(first(y0, first(cons(y1, y2), y3)))))
   MARK(first(s(first(first(y0, y1), first(y2, y3))), 0)) -> c5(MARK(s(first(first(y0, y1), first(y2, y3)))))
   MARK(first(s(first(from(y0), first(y1, y2))), 0)) -> c5(MARK(s(first(from(y0), first(y1, y2)))))
   MARK(first(s(first(s(y0), first(y1, y2))), 0)) -> c5(MARK(s(first(s(y0), first(y1, y2)))))
   MARK(first(s(first(y0, first(y1, y2))), 0)) -> c5(MARK(s(first(y0, first(y1, y2)))))
   MARK(first(s(first(cons(y0, y1), first(y2, y3))), 0)) -> c5(MARK(s(first(cons(y0, y1), first(y2, y3)))))
   MARK(first(s(first(y0, from(y1))), 0)) -> c5(MARK(s(first(y0, from(y1)))))
   MARK(first(s(first(y0, from(first(y1, y2)))), 0)) -> c5(MARK(s(first(y0, from(first(y1, y2))))))
   MARK(first(s(first(y0, from(from(y1)))), 0)) -> c5(MARK(s(first(y0, from(from(y1))))))
   MARK(first(s(first(y0, from(0))), 0)) -> c5(MARK(s(first(y0, from(0)))))
   MARK(first(s(first(y0, from(nil))), 0)) -> c5(MARK(s(first(y0, from(nil)))))
   MARK(first(s(first(y0, from(s(y1)))), 0)) -> c5(MARK(s(first(y0, from(s(y1))))))
   MARK(first(s(first(y0, from(cons(y1, y2)))), 0)) -> c5(MARK(s(first(y0, from(cons(y1, y2))))))
   MARK(first(s(first(first(y0, y1), from(y2))), 0)) -> c5(MARK(s(first(first(y0, y1), from(y2)))))
   MARK(first(s(first(from(y0), from(y1))), 0)) -> c5(MARK(s(first(from(y0), from(y1)))))
   MARK(first(s(first(s(y0), from(y1))), 0)) -> c5(MARK(s(first(s(y0), from(y1)))))
   MARK(first(s(first(cons(y0, y1), from(y2))), 0)) -> c5(MARK(s(first(cons(y0, y1), from(y2)))))
   MARK(first(s(first(y0, cons(first(y1, y2), y3))), 0)) -> c5(MARK(s(first(y0, cons(first(y1, y2), y3)))))
   MARK(first(s(first(y0, cons(from(y1), y2))), 0)) -> c5(MARK(s(first(y0, cons(from(y1), y2)))))
   MARK(first(s(first(y0, cons(s(y1), y2))), 0)) -> c5(MARK(s(first(y0, cons(s(y1), y2)))))
   MARK(first(s(first(y0, cons(cons(y1, y2), y3))), 0)) -> c5(MARK(s(first(y0, cons(cons(y1, y2), y3)))))
   MARK(first(s(first(first(y0, y1), cons(y2, y3))), 0)) -> c5(MARK(s(first(first(y0, y1), cons(y2, y3)))))
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   MARK(first(cons(from(first(from(y0), y1)), y2), 0)) -> c5(MARK(cons(from(first(from(y0), y1)), y2)))
   MARK(first(cons(from(first(0, y0)), y1), 0)) -> c5(MARK(cons(from(first(0, y0)), y1)))
   MARK(first(cons(from(first(nil, y0)), y1), 0)) -> c5(MARK(cons(from(first(nil, y0)), y1)))
   MARK(first(cons(from(first(s(y0), y1)), y2), 0)) -> c5(MARK(cons(from(first(s(y0), y1)), y2)))
   MARK(first(cons(from(first(cons(y0, y1), y2)), y3), 0)) -> c5(MARK(cons(from(first(cons(y0, y1), y2)), y3)))
   MARK(first(cons(from(from(y0)), y1), 0)) -> c5(MARK(cons(from(from(y0)), y1)))
   MARK(first(cons(from(from(first(y0, y1))), y2), 0)) -> c5(MARK(cons(from(from(first(y0, y1))), y2)))
   MARK(first(cons(from(from(from(y0))), y1), 0)) -> c5(MARK(cons(from(from(from(y0))), y1)))
   MARK(first(cons(from(from(s(y0))), y1), 0)) -> c5(MARK(cons(from(from(s(y0))), y1)))
   MARK(first(cons(from(from(cons(y0, y1))), y2), 0)) -> c5(MARK(cons(from(from(cons(y0, y1))), y2)))
   MARK(first(cons(from(from(0)), y0), 0)) -> c5(MARK(cons(from(from(0)), y0)))
   MARK(first(cons(from(from(nil)), y0), 0)) -> c5(MARK(cons(from(from(nil)), y0)))
   MARK(first(cons(s(s(y0)), y1), 0)) -> c5(MARK(cons(s(s(y0)), y1)))
   MARK(first(cons(s(cons(y0, y1)), y2), 0)) -> c5(MARK(cons(s(cons(y0, y1)), y2)))
   MARK(first(cons(s(first(y0, 0)), y1), 0)) -> c5(MARK(cons(s(first(y0, 0)), y1)))
   MARK(first(cons(s(first(y0, nil)), y1), 0)) -> c5(MARK(cons(s(first(y0, nil)), y1)))
   MARK(first(cons(s(first(y0, s(y1))), y2), 0)) -> c5(MARK(cons(s(first(y0, s(y1))), y2)))
   MARK(first(cons(s(first(cons(y0, y1), y2)), y3), 0)) -> c5(MARK(cons(s(first(cons(y0, y1), y2)), y3)))
   MARK(first(cons(s(first(0, y0)), y1), 0)) -> c5(MARK(cons(s(first(0, y0)), y1)))
   MARK(first(cons(s(first(nil, y0)), y1), 0)) -> c5(MARK(cons(s(first(nil, y0)), y1)))
   MARK(first(cons(s(first(y0, first(y1, first(y2, y3)))), y4), 0)) -> c5(MARK(cons(s(first(y0, first(y1, first(y2, y3)))), y4)))
   MARK(first(cons(s(first(y0, first(y1, from(y2)))), y3), 0)) -> c5(MARK(cons(s(first(y0, first(y1, from(y2)))), y3)))
   MARK(first(cons(s(first(y0, first(y1, 0))), y2), 0)) -> c5(MARK(cons(s(first(y0, first(y1, 0))), y2)))
   MARK(first(cons(s(first(y0, first(y1, nil))), y2), 0)) -> c5(MARK(cons(s(first(y0, first(y1, nil))), y2)))
   MARK(first(cons(s(first(y0, first(y1, s(y2)))), y3), 0)) -> c5(MARK(cons(s(first(y0, first(y1, s(y2)))), y3)))
   MARK(first(cons(s(first(y0, first(y1, cons(y2, y3)))), y4), 0)) -> c5(MARK(cons(s(first(y0, first(y1, cons(y2, y3)))), y4)))
   MARK(first(cons(s(first(y0, first(first(y1, y2), y3))), y4), 0)) -> c5(MARK(cons(s(first(y0, first(first(y1, y2), y3))), y4)))
   MARK(first(cons(s(first(y0, first(from(y1), y2))), y3), 0)) -> c5(MARK(cons(s(first(y0, first(from(y1), y2))), y3)))
   MARK(first(cons(s(first(y0, first(0, y1))), y2), 0)) -> c5(MARK(cons(s(first(y0, first(0, y1))), y2)))
   MARK(first(cons(s(first(y0, first(nil, y1))), y2), 0)) -> c5(MARK(cons(s(first(y0, first(nil, y1))), y2)))
   MARK(first(cons(s(first(y0, first(s(y1), y2))), y3), 0)) -> c5(MARK(cons(s(first(y0, first(s(y1), y2))), y3)))
   MARK(first(cons(s(first(y0, first(cons(y1, y2), y3))), y4), 0)) -> c5(MARK(cons(s(first(y0, first(cons(y1, y2), y3))), y4)))
   MARK(first(cons(s(first(first(y0, y1), first(y2, y3))), y4), 0)) -> c5(MARK(cons(s(first(first(y0, y1), first(y2, y3))), y4)))
   MARK(first(cons(s(first(from(y0), first(y1, y2))), y3), 0)) -> c5(MARK(cons(s(first(from(y0), first(y1, y2))), y3)))
   MARK(first(cons(s(first(s(y0), first(y1, y2))), y3), 0)) -> c5(MARK(cons(s(first(s(y0), first(y1, y2))), y3)))
   MARK(first(cons(s(first(y0, first(y1, y2))), y3), 0)) -> c5(MARK(cons(s(first(y0, first(y1, y2))), y3)))
   MARK(first(cons(s(first(cons(y0, y1), first(y2, y3))), y4), 0)) -> c5(MARK(cons(s(first(cons(y0, y1), first(y2, y3))), y4)))
   MARK(first(cons(s(first(y0, from(y1))), y2), 0)) -> c5(MARK(cons(s(first(y0, from(y1))), y2)))
   MARK(first(cons(s(first(y0, from(first(y1, y2)))), y3), 0)) -> c5(MARK(cons(s(first(y0, from(first(y1, y2)))), y3)))
   MARK(first(cons(s(first(y0, from(from(y1)))), y2), 0)) -> c5(MARK(cons(s(first(y0, from(from(y1)))), y2)))
   MARK(first(cons(s(first(y0, from(0))), y1), 0)) -> c5(MARK(cons(s(first(y0, from(0))), y1)))
   MARK(first(cons(s(first(y0, from(nil))), y1), 0)) -> c5(MARK(cons(s(first(y0, from(nil))), y1)))
   MARK(first(cons(s(first(y0, from(s(y1)))), y2), 0)) -> c5(MARK(cons(s(first(y0, from(s(y1)))), y2)))
   MARK(first(cons(s(first(y0, from(cons(y1, y2)))), y3), 0)) -> c5(MARK(cons(s(first(y0, from(cons(y1, y2)))), y3)))
   MARK(first(cons(s(first(first(y0, y1), from(y2))), y3), 0)) -> c5(MARK(cons(s(first(first(y0, y1), from(y2))), y3)))
   MARK(first(cons(s(first(from(y0), from(y1))), y2), 0)) -> c5(MARK(cons(s(first(from(y0), from(y1))), y2)))
   MARK(first(cons(s(first(s(y0), from(y1))), y2), 0)) -> c5(MARK(cons(s(first(s(y0), from(y1))), y2)))
   MARK(first(cons(s(first(cons(y0, y1), from(y2))), y3), 0)) -> c5(MARK(cons(s(first(cons(y0, y1), from(y2))), y3)))
   MARK(first(cons(s(first(y0, cons(first(y1, y2), y3))), y4), 0)) -> c5(MARK(cons(s(first(y0, cons(first(y1, y2), y3))), y4)))
   MARK(first(cons(s(first(y0, cons(from(y1), y2))), y3), 0)) -> c5(MARK(cons(s(first(y0, cons(from(y1), y2))), y3)))
   MARK(first(cons(s(first(y0, cons(s(y1), y2))), y3), 0)) -> c5(MARK(cons(s(first(y0, cons(s(y1), y2))), y3)))
   MARK(first(cons(s(first(y0, cons(cons(y1, y2), y3))), y4), 0)) -> c5(MARK(cons(s(first(y0, cons(cons(y1, y2), y3))), y4)))
   MARK(first(cons(s(first(first(y0, y1), cons(y2, y3))), y4), 0)) -> c5(MARK(cons(s(first(first(y0, y1), cons(y2, y3))), y4)))
   MARK(first(cons(s(first(from(y0), cons(y1, y2))), y3), 0)) -> c5(MARK(cons(s(first(from(y0), cons(y1, y2))), y3)))
   MARK(first(cons(s(first(s(y0), cons(y1, y2))), y3), 0)) -> c5(MARK(cons(s(first(s(y0), cons(y1, y2))), y3)))
   MARK(first(cons(s(first(cons(y0, y1), cons(y2, y3))), y4), 0)) -> c5(MARK(cons(s(first(cons(y0, y1), cons(y2, y3))), y4)))
   MARK(first(cons(s(first(first(y0, first(y1, y2)), y3)), y4), 0)) -> c5(MARK(cons(s(first(first(y0, first(y1, y2)), y3)), y4)))
   MARK(first(cons(s(first(first(y0, from(y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(first(y0, from(y1)), y2)), y3)))
   MARK(first(cons(s(first(first(y0, 0), y1)), y2), 0)) -> c5(MARK(cons(s(first(first(y0, 0), y1)), y2)))
   MARK(first(cons(s(first(first(y0, nil), y1)), y2), 0)) -> c5(MARK(cons(s(first(first(y0, nil), y1)), y2)))
   MARK(first(cons(s(first(first(y0, s(y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(first(y0, s(y1)), y2)), y3)))
   MARK(first(cons(s(first(first(y0, cons(y1, y2)), y3)), y4), 0)) -> c5(MARK(cons(s(first(first(y0, cons(y1, y2)), y3)), y4)))
   MARK(first(cons(s(first(first(first(y0, y1), y2), y3)), y4), 0)) -> c5(MARK(cons(s(first(first(first(y0, y1), y2), y3)), y4)))
   MARK(first(cons(s(first(first(from(y0), y1), y2)), y3), 0)) -> c5(MARK(cons(s(first(first(from(y0), y1), y2)), y3)))
   MARK(first(cons(s(first(first(0, y0), y1)), y2), 0)) -> c5(MARK(cons(s(first(first(0, y0), y1)), y2)))
   MARK(first(cons(s(first(first(nil, y0), y1)), y2), 0)) -> c5(MARK(cons(s(first(first(nil, y0), y1)), y2)))
   MARK(first(cons(s(first(first(s(y0), y1), y2)), y3), 0)) -> c5(MARK(cons(s(first(first(s(y0), y1), y2)), y3)))
   MARK(first(cons(s(first(first(cons(y0, y1), y2), y3)), y4), 0)) -> c5(MARK(cons(s(first(first(cons(y0, y1), y2), y3)), y4)))
   MARK(first(cons(s(first(first(y0, y1), 0)), y2), 0)) -> c5(MARK(cons(s(first(first(y0, y1), 0)), y2)))
   MARK(first(cons(s(first(first(y0, y1), nil)), y2), 0)) -> c5(MARK(cons(s(first(first(y0, y1), nil)), y2)))
   MARK(first(cons(s(first(first(y0, y1), s(y2))), y3), 0)) -> c5(MARK(cons(s(first(first(y0, y1), s(y2))), y3)))
   MARK(first(cons(s(first(first(y0, y1), y2)), y3), 0)) -> c5(MARK(cons(s(first(first(y0, y1), y2)), y3)))
   MARK(first(cons(s(first(from(first(y0, y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(from(first(y0, y1)), y2)), y3)))
   MARK(first(cons(s(first(from(from(y0)), y1)), y2), 0)) -> c5(MARK(cons(s(first(from(from(y0)), y1)), y2)))
   MARK(first(cons(s(first(from(s(y0)), y1)), y2), 0)) -> c5(MARK(cons(s(first(from(s(y0)), y1)), y2)))
   MARK(first(cons(s(first(from(cons(y0, y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(from(cons(y0, y1)), y2)), y3)))
   MARK(first(cons(s(first(from(y0), y1)), y2), 0)) -> c5(MARK(cons(s(first(from(y0), y1)), y2)))
   MARK(first(cons(s(first(from(y0), 0)), y1), 0)) -> c5(MARK(cons(s(first(from(y0), 0)), y1)))
   MARK(first(cons(s(first(from(y0), nil)), y1), 0)) -> c5(MARK(cons(s(first(from(y0), nil)), y1)))
   MARK(first(cons(s(first(from(y0), s(y1))), y2), 0)) -> c5(MARK(cons(s(first(from(y0), s(y1))), y2)))
   MARK(first(cons(s(first(s(first(y0, y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(s(first(y0, y1)), y2)), y3)))
   MARK(first(cons(s(first(s(from(y0)), y1)), y2), 0)) -> c5(MARK(cons(s(first(s(from(y0)), y1)), y2)))
   MARK(first(cons(s(first(s(0), y0)), y1), 0)) -> c5(MARK(cons(s(first(s(0), y0)), y1)))
   MARK(first(cons(s(first(s(nil), y0)), y1), 0)) -> c5(MARK(cons(s(first(s(nil), y0)), y1)))
   MARK(first(cons(s(first(s(s(y0)), y1)), y2), 0)) -> c5(MARK(cons(s(first(s(s(y0)), y1)), y2)))
   MARK(first(cons(s(first(s(cons(y0, y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(s(cons(y0, y1)), y2)), y3)))
   MARK(first(cons(s(first(s(y0), y1)), y2), 0)) -> c5(MARK(cons(s(first(s(y0), y1)), y2)))
   MARK(first(cons(s(first(s(y0), 0)), y1), 0)) -> c5(MARK(cons(s(first(s(y0), 0)), y1)))
   MARK(first(cons(s(first(s(y0), nil)), y1), 0)) -> c5(MARK(cons(s(first(s(y0), nil)), y1)))
   MARK(first(cons(s(first(s(y0), s(y1))), y2), 0)) -> c5(MARK(cons(s(first(s(y0), s(y1))), y2)))
   MARK(first(cons(s(first(0, first(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(0, first(y0, y1))), y2)))
   MARK(first(cons(s(first(nil, first(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(nil, first(y0, y1))), y2)))
   MARK(first(cons(s(first(0, from(y0))), y1), 0)) -> c5(MARK(cons(s(first(0, from(y0))), y1)))
   MARK(first(cons(s(first(nil, from(y0))), y1), 0)) -> c5(MARK(cons(s(first(nil, from(y0))), y1)))
   MARK(first(cons(s(first(y0, cons(y1, y2))), y3), 0)) -> c5(MARK(cons(s(first(y0, cons(y1, y2))), y3)))
   MARK(first(cons(s(first(0, cons(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(0, cons(y0, y1))), y2)))
   MARK(first(cons(s(first(nil, cons(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(nil, cons(y0, y1))), y2)))
   MARK(first(cons(s(first(from(0), y0)), y1), 0)) -> c5(MARK(cons(s(first(from(0), y0)), y1)))
   MARK(first(cons(s(first(from(nil), y0)), y1), 0)) -> c5(MARK(cons(s(first(from(nil), y0)), y1)))
   MARK(first(cons(s(first(y0, cons(0, y1))), y2), 0)) -> c5(MARK(cons(s(first(y0, cons(0, y1))), y2)))
   MARK(first(cons(s(first(y0, cons(nil, y1))), y2), 0)) -> c5(MARK(cons(s(first(y0, cons(nil, y1))), y2)))
   MARK(first(cons(s(from(s(y0))), y1), 0)) -> c5(MARK(cons(s(from(s(y0))), y1)))
   MARK(first(cons(s(from(cons(y0, y1))), y2), 0)) -> c5(MARK(cons(s(from(cons(y0, y1))), y2)))
   MARK(first(cons(s(from(first(y0, y1))), y2), 0)) -> c5(MARK(cons(s(from(first(y0, y1))), y2)))
   MARK(first(cons(s(from(first(y0, first(y1, y2)))), y3), 0)) -> c5(MARK(cons(s(from(first(y0, first(y1, y2)))), y3)))
   MARK(first(cons(s(from(first(y0, from(y1)))), y2), 0)) -> c5(MARK(cons(s(from(first(y0, from(y1)))), y2)))
   MARK(first(cons(s(from(first(y0, 0))), y1), 0)) -> c5(MARK(cons(s(from(first(y0, 0))), y1)))
   MARK(first(cons(s(from(first(y0, nil))), y1), 0)) -> c5(MARK(cons(s(from(first(y0, nil))), y1)))
   MARK(first(cons(s(from(first(y0, s(y1)))), y2), 0)) -> c5(MARK(cons(s(from(first(y0, s(y1)))), y2)))
   MARK(first(cons(s(from(first(y0, cons(y1, y2)))), y3), 0)) -> c5(MARK(cons(s(from(first(y0, cons(y1, y2)))), y3)))
   MARK(first(cons(s(from(first(first(y0, y1), y2))), y3), 0)) -> c5(MARK(cons(s(from(first(first(y0, y1), y2))), y3)))
   MARK(first(cons(s(from(first(from(y0), y1))), y2), 0)) -> c5(MARK(cons(s(from(first(from(y0), y1))), y2)))
   MARK(first(cons(s(from(first(0, y0))), y1), 0)) -> c5(MARK(cons(s(from(first(0, y0))), y1)))
   MARK(first(cons(s(from(first(nil, y0))), y1), 0)) -> c5(MARK(cons(s(from(first(nil, y0))), y1)))
   MARK(first(cons(s(from(first(s(y0), y1))), y2), 0)) -> c5(MARK(cons(s(from(first(s(y0), y1))), y2)))
   MARK(first(cons(s(from(first(cons(y0, y1), y2))), y3), 0)) -> c5(MARK(cons(s(from(first(cons(y0, y1), y2))), y3)))
   MARK(first(cons(s(from(from(y0))), y1), 0)) -> c5(MARK(cons(s(from(from(y0))), y1)))
   MARK(first(cons(s(from(from(first(y0, y1)))), y2), 0)) -> c5(MARK(cons(s(from(from(first(y0, y1)))), y2)))
   MARK(first(cons(s(from(from(from(y0)))), y1), 0)) -> c5(MARK(cons(s(from(from(from(y0)))), y1)))
   MARK(first(cons(s(from(from(s(y0)))), y1), 0)) -> c5(MARK(cons(s(from(from(s(y0)))), y1)))
   MARK(first(cons(s(from(from(cons(y0, y1)))), y2), 0)) -> c5(MARK(cons(s(from(from(cons(y0, y1)))), y2)))
   MARK(first(cons(s(from(from(0))), y0), 0)) -> c5(MARK(cons(s(from(from(0))), y0)))
   MARK(first(cons(s(from(from(nil))), y0), 0)) -> c5(MARK(cons(s(from(from(nil))), y0)))

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

(162)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__first(0, z0) -> nil
   a__first(s(z0), cons(z1, z2)) -> cons(mark(z1), first(z0, z2))
   a__first(z0, z1) -> first(z0, z1)
   a__from(z0) -> cons(mark(z0), from(s(z0)))
   a__from(z0) -> from(z0)
   mark(first(z0, z1)) -> a__first(mark(z0), mark(z1))
   mark(from(z0)) -> a__from(mark(z0))
   mark(0) -> 0
   mark(nil) -> nil
   mark(s(z0)) -> s(mark(z0))
   mark(cons(z0, z1)) -> cons(mark(z0), z1)
Tuples:
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
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   MARK(first(cons(s(first(s(y0), s(y1))), y2), 0)) -> c5(MARK(cons(s(first(s(y0), s(y1))), y2)))
   MARK(first(cons(s(first(0, first(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(0, first(y0, y1))), y2)))
   MARK(first(cons(s(first(nil, first(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(nil, first(y0, y1))), y2)))
   MARK(first(cons(s(first(0, from(y0))), y1), 0)) -> c5(MARK(cons(s(first(0, from(y0))), y1)))
   MARK(first(cons(s(first(nil, from(y0))), y1), 0)) -> c5(MARK(cons(s(first(nil, from(y0))), y1)))
   MARK(first(cons(s(first(y0, cons(y1, y2))), y3), 0)) -> c5(MARK(cons(s(first(y0, cons(y1, y2))), y3)))
   MARK(first(cons(s(first(0, cons(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(0, cons(y0, y1))), y2)))
   MARK(first(cons(s(first(nil, cons(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(nil, cons(y0, y1))), y2)))
   MARK(first(cons(s(first(from(0), y0)), y1), 0)) -> c5(MARK(cons(s(first(from(0), y0)), y1)))
   MARK(first(cons(s(first(from(nil), y0)), y1), 0)) -> c5(MARK(cons(s(first(from(nil), y0)), y1)))
   MARK(first(cons(s(first(y0, cons(0, y1))), y2), 0)) -> c5(MARK(cons(s(first(y0, cons(0, y1))), y2)))
   MARK(first(cons(s(first(y0, cons(nil, y1))), y2), 0)) -> c5(MARK(cons(s(first(y0, cons(nil, y1))), y2)))
   MARK(first(cons(s(from(s(y0))), y1), 0)) -> c5(MARK(cons(s(from(s(y0))), y1)))
   MARK(first(cons(s(from(cons(y0, y1))), y2), 0)) -> c5(MARK(cons(s(from(cons(y0, y1))), y2)))
   MARK(first(cons(s(from(first(y0, y1))), y2), 0)) -> c5(MARK(cons(s(from(first(y0, y1))), y2)))
   MARK(first(cons(s(from(first(y0, first(y1, y2)))), y3), 0)) -> c5(MARK(cons(s(from(first(y0, first(y1, y2)))), y3)))
   MARK(first(cons(s(from(first(y0, from(y1)))), y2), 0)) -> c5(MARK(cons(s(from(first(y0, from(y1)))), y2)))
   MARK(first(cons(s(from(first(y0, 0))), y1), 0)) -> c5(MARK(cons(s(from(first(y0, 0))), y1)))
   MARK(first(cons(s(from(first(y0, nil))), y1), 0)) -> c5(MARK(cons(s(from(first(y0, nil))), y1)))
   MARK(first(cons(s(from(first(y0, s(y1)))), y2), 0)) -> c5(MARK(cons(s(from(first(y0, s(y1)))), y2)))
   MARK(first(cons(s(from(first(y0, cons(y1, y2)))), y3), 0)) -> c5(MARK(cons(s(from(first(y0, cons(y1, y2)))), y3)))
   MARK(first(cons(s(from(first(first(y0, y1), y2))), y3), 0)) -> c5(MARK(cons(s(from(first(first(y0, y1), y2))), y3)))
   MARK(first(cons(s(from(first(from(y0), y1))), y2), 0)) -> c5(MARK(cons(s(from(first(from(y0), y1))), y2)))
   MARK(first(cons(s(from(first(0, y0))), y1), 0)) -> c5(MARK(cons(s(from(first(0, y0))), y1)))
   MARK(first(cons(s(from(first(nil, y0))), y1), 0)) -> c5(MARK(cons(s(from(first(nil, y0))), y1)))
   MARK(first(cons(s(from(first(s(y0), y1))), y2), 0)) -> c5(MARK(cons(s(from(first(s(y0), y1))), y2)))
   MARK(first(cons(s(from(first(cons(y0, y1), y2))), y3), 0)) -> c5(MARK(cons(s(from(first(cons(y0, y1), y2))), y3)))
   MARK(first(cons(s(from(from(y0))), y1), 0)) -> c5(MARK(cons(s(from(from(y0))), y1)))
   MARK(first(cons(s(from(from(first(y0, y1)))), y2), 0)) -> c5(MARK(cons(s(from(from(first(y0, y1)))), y2)))
   MARK(first(cons(s(from(from(from(y0)))), y1), 0)) -> c5(MARK(cons(s(from(from(from(y0)))), y1)))
   MARK(first(cons(s(from(from(s(y0)))), y1), 0)) -> c5(MARK(cons(s(from(from(s(y0)))), y1)))
   MARK(first(cons(s(from(from(cons(y0, y1)))), y2), 0)) -> c5(MARK(cons(s(from(from(cons(y0, y1)))), y2)))
   MARK(first(cons(s(from(from(0))), y0), 0)) -> c5(MARK(cons(s(from(from(0))), y0)))
   MARK(first(cons(s(from(from(nil))), y0), 0)) -> c5(MARK(cons(s(from(from(nil))), y0)))
S tuples:
   MARK(first(x0, nil)) -> c5(MARK(x0))
   MARK(first(x0, s(z0))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), x1)) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, s(z0))) -> c6(MARK(s(z0)))
   MARK(first(0, x1)) -> c6(MARK(x1))
   MARK(first(nil, x1)) -> c6(MARK(x1))
   MARK(first(cons(z0, z1), x1)) -> c6(MARK(x1))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, first(x1, from(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, 0))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(x0))
   MARK(first(x0, first(x1, nil))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(x0))
   MARK(first(x0, first(x1, s(z0)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(x0))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(x0))
   MARK(first(x0, first(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(x0))
   MARK(first(x0, first(from(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(0, x2))) -> c5(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(x0))
   MARK(first(x0, first(nil, x2))) -> c5(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(x0))
   MARK(first(x0, first(s(z0), x2))) -> c5(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(x0))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(x0))
   MARK(first(first(z0, z1), first(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(z0, z1)))
   MARK(first(from(z0), first(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(from(z0)))
   MARK(first(s(z0), first(x1, x2))) -> c5(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(s(z0)))
   MARK(first(x0, first(x1, x2))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, from(x1))) -> c5(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0))
   MARK(first(x0, from(first(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(x0))
   MARK(first(x0, from(from(z0)))) -> c5(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(x0))
   MARK(first(x0, from(0))) -> c5(A__FIRST(mark(x0), a__from(0)), MARK(x0))
   MARK(first(x0, from(nil))) -> c5(A__FIRST(mark(x0), a__from(nil)), MARK(x0))
   MARK(first(x0, from(s(z0)))) -> c5(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(x0))
   MARK(first(x0, from(cons(z0, z1)))) -> c5(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0))
   MARK(first(first(z0, z1), from(x1))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(first(z0, z1)))
   MARK(first(from(z0), from(x1))) -> c5(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0)))
   MARK(first(s(z0), from(x1))) -> c5(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(s(z0)))
   MARK(first(x0, from(x1))) -> c5(MARK(x0))
   MARK(first(cons(z0, z1), from(x1))) -> c5(MARK(cons(z0, z1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(x0))
   MARK(first(x0, cons(from(z0), x2))) -> c5(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(s(z0), x2))) -> c5(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(x0))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c5(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c5(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(first(z0, z1)))
   MARK(first(from(z0), cons(x1, x2))) -> c5(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0)))
   MARK(first(s(z0), cons(x1, x2))) -> c5(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c5(MARK(cons(z0, z1)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(first(x0, first(z0, z1))))
   MARK(first(first(x0, from(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(first(x0, from(z0))))
   MARK(first(first(x0, 0), x2)) -> c5(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(first(x0, 0)))
   MARK(first(first(x0, nil), x2)) -> c5(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(first(x0, nil)))
   MARK(first(first(x0, s(z0)), x2)) -> c5(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(first(x0, s(z0))))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c5(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(first(x0, cons(z0, z1))))
   MARK(first(first(first(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(first(first(z0, z1), x1)))
   MARK(first(first(from(z0), x1), x2)) -> c5(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(first(from(z0), x1)))
   MARK(first(first(0, x1), x2)) -> c5(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(first(0, x1)))
   MARK(first(first(nil, x1), x2)) -> c5(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(first(nil, x1)))
   MARK(first(first(s(z0), x1), x2)) -> c5(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(first(s(z0), x1)))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c5(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(first(cons(z0, z1), x1)))
   MARK(first(first(x0, x1), 0)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), nil)) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), s(z0))) -> c5(MARK(first(x0, x1)))
   MARK(first(first(x0, x1), x2)) -> c5(MARK(first(x0, x1)))
   MARK(first(from(first(z0, z1)), x1)) -> c5(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(from(first(z0, z1))))
   MARK(first(from(from(z0)), x1)) -> c5(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0))))
   MARK(first(from(s(z0)), x1)) -> c5(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0))))
   MARK(first(from(cons(z0, z1)), x1)) -> c5(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1))))
   MARK(first(from(x0), x1)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), 0)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), nil)) -> c5(MARK(from(x0)))
   MARK(first(from(x0), s(z0))) -> c5(MARK(from(x0)))
   MARK(first(s(first(z0, z1)), x1)) -> c5(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(s(first(z0, z1))))
   MARK(first(s(from(z0)), x1)) -> c5(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0))))
   MARK(first(s(s(z0)), x1)) -> c5(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(s(s(z0))))
   MARK(first(s(cons(z0, z1)), x1)) -> c5(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1))))
   MARK(first(s(x0), x1)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), 0)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), nil)) -> c5(MARK(s(x0)))
   MARK(first(s(x0), s(z0))) -> c5(MARK(s(x0)))
   MARK(first(x0, first(x1, first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__first(mark(z0), mark(z1)))), MARK(first(x1, first(z0, z1))))
   MARK(first(x0, first(x1, from(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), a__from(mark(z0)))), MARK(first(x1, from(z0))))
   MARK(first(x0, first(x1, 0))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), 0)), MARK(first(x1, 0)))
   MARK(first(x0, first(x1, nil))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), nil)), MARK(first(x1, nil)))
   MARK(first(x0, first(x1, s(z0)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), s(mark(z0)))), MARK(first(x1, s(z0))))
   MARK(first(x0, first(x1, cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__first(mark(x1), cons(mark(z0), z1))), MARK(first(x1, cons(z0, z1))))
   MARK(first(x0, first(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(a__first(mark(z0), mark(z1)), mark(x2))), MARK(first(first(z0, z1), x2)))
   MARK(first(x0, first(from(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(a__from(mark(z0)), mark(x2))), MARK(first(from(z0), x2)))
   MARK(first(x0, first(0, x2))) -> c6(A__FIRST(mark(x0), a__first(0, mark(x2))), MARK(first(0, x2)))
   MARK(first(x0, first(nil, x2))) -> c6(A__FIRST(mark(x0), a__first(nil, mark(x2))), MARK(first(nil, x2)))
   MARK(first(x0, first(s(z0), x2))) -> c6(A__FIRST(mark(x0), a__first(s(mark(z0)), mark(x2))), MARK(first(s(z0), x2)))
   MARK(first(x0, first(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), a__first(cons(mark(z0), z1), mark(x2))), MARK(first(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), first(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(from(z0), first(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(s(z0), first(x1, x2))) -> c6(A__FIRST(s(mark(z0)), a__first(mark(x1), mark(x2))), MARK(first(x1, x2)))
   MARK(first(x0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(0, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(nil, first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(cons(z0, z1), first(x1, x2))) -> c6(MARK(first(x1, x2)))
   MARK(first(x0, from(x1))) -> c6(A__FIRST(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1)))
   MARK(first(x0, from(first(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(a__first(mark(z0), mark(z1)))), MARK(from(first(z0, z1))))
   MARK(first(x0, from(from(z0)))) -> c6(A__FIRST(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0))))
   MARK(first(x0, from(s(z0)))) -> c6(A__FIRST(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0))))
   MARK(first(x0, from(cons(z0, z1)))) -> c6(A__FIRST(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1))))
   MARK(first(first(z0, z1), from(x1))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(from(z0), from(x1))) -> c6(A__FIRST(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(s(z0), from(x1))) -> c6(A__FIRST(s(mark(z0)), a__from(mark(x1))), MARK(from(x1)))
   MARK(first(x0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(0, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(nil, from(x1))) -> c6(MARK(from(x1)))
   MARK(first(cons(z0, z1), from(x1))) -> c6(MARK(from(x1)))
   MARK(first(x0, cons(first(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(a__first(mark(z0), mark(z1)), x2)), MARK(cons(first(z0, z1), x2)))
   MARK(first(x0, cons(from(z0), x2))) -> c6(A__FIRST(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2)))
   MARK(first(x0, cons(s(z0), x2))) -> c6(A__FIRST(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2)))
   MARK(first(x0, cons(cons(z0, z1), x2))) -> c6(A__FIRST(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2)))
   MARK(first(first(z0, z1), cons(x1, x2))) -> c6(A__FIRST(a__first(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(from(z0), cons(x1, x2))) -> c6(A__FIRST(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(s(z0), cons(x1, x2))) -> c6(A__FIRST(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2)))
   MARK(first(x0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(0, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(nil, cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(cons(z0, z1), cons(x1, x2))) -> c6(MARK(cons(x1, x2)))
   MARK(first(first(x0, first(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__first(mark(z0), mark(z1))), mark(x2)), MARK(x2))
   MARK(first(first(x0, from(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, 0), x2)) -> c6(A__FIRST(a__first(mark(x0), 0), mark(x2)), MARK(x2))
   MARK(first(first(x0, nil), x2)) -> c6(A__FIRST(a__first(mark(x0), nil), mark(x2)), MARK(x2))
   MARK(first(first(x0, s(z0)), x2)) -> c6(A__FIRST(a__first(mark(x0), s(mark(z0))), mark(x2)), MARK(x2))
   MARK(first(first(x0, cons(z0, z1)), x2)) -> c6(A__FIRST(a__first(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2))
   MARK(first(first(first(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(a__first(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(from(z0), x1), x2)) -> c6(A__FIRST(a__first(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(0, x1), x2)) -> c6(A__FIRST(a__first(0, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(nil, x1), x2)) -> c6(A__FIRST(a__first(nil, mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(s(z0), x1), x2)) -> c6(A__FIRST(a__first(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(cons(z0, z1), x1), x2)) -> c6(A__FIRST(a__first(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2))
   MARK(first(first(x0, x1), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(first(x0, x1), x2)) -> c6(MARK(x2))
   MARK(first(from(first(z0, z1)), x1)) -> c6(A__FIRST(a__from(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(from(from(z0)), x1)) -> c6(A__FIRST(a__from(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(0), x1)) -> c6(A__FIRST(a__from(0), mark(x1)), MARK(x1))
   MARK(first(from(nil), x1)) -> c6(A__FIRST(a__from(nil), mark(x1)), MARK(x1))
   MARK(first(from(s(z0)), x1)) -> c6(A__FIRST(a__from(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(from(cons(z0, z1)), x1)) -> c6(A__FIRST(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(from(x0), s(z0))) -> c6(MARK(s(z0)))
   MARK(first(from(x0), x1)) -> c6(MARK(x1))
   MARK(first(s(first(z0, z1)), x1)) -> c6(A__FIRST(s(a__first(mark(z0), mark(z1))), mark(x1)), MARK(x1))
   MARK(first(s(from(z0)), x1)) -> c6(A__FIRST(s(a__from(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(0), x1)) -> c6(A__FIRST(s(0), mark(x1)), MARK(x1))
   MARK(first(s(nil), x1)) -> c6(A__FIRST(s(nil), mark(x1)), MARK(x1))
   MARK(first(s(s(z0)), x1)) -> c6(A__FIRST(s(s(mark(z0))), mark(x1)), MARK(x1))
   MARK(first(s(cons(z0, z1)), x1)) -> c6(A__FIRST(s(cons(mark(z0), z1)), mark(x1)), MARK(x1))
   MARK(first(s(x0), s(z0))) -> c6(MARK(s(z0)))
   A__FIRST(s(z0), cons(from(y0), z2)) -> c1(MARK(from(y0)))
   A__FIRST(s(z0), cons(s(y0), z2)) -> c1(MARK(s(y0)))
   A__FIRST(s(z0), cons(cons(y0, y1), z2)) -> c1(MARK(cons(y0, y1)))
   A__FIRST(s(z0), cons(first(y0, 0), z2)) -> c1(MARK(first(y0, 0)))
   A__FIRST(s(z0), cons(first(y0, nil), z2)) -> c1(MARK(first(y0, nil)))
   A__FIRST(s(z0), cons(first(y0, s(y1)), z2)) -> c1(MARK(first(y0, s(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), y2), z2)) -> c1(MARK(first(cons(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(0, y0), z2)) -> c1(MARK(first(0, y0)))
   A__FIRST(s(z0), cons(first(nil, y0), z2)) -> c1(MARK(first(nil, y0)))
   A__FIRST(s(z0), cons(first(y0, first(y1, first(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, from(y2))), z2)) -> c1(MARK(first(y0, first(y1, from(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, 0)), z2)) -> c1(MARK(first(y0, first(y1, 0))))
   A__FIRST(s(z0), cons(first(y0, first(y1, nil)), z2)) -> c1(MARK(first(y0, first(y1, nil))))
   A__FIRST(s(z0), cons(first(y0, first(y1, s(y2))), z2)) -> c1(MARK(first(y0, first(y1, s(y2)))))
   A__FIRST(s(z0), cons(first(y0, first(y1, cons(y2, y3))), z2)) -> c1(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FIRST(s(z0), cons(first(y0, first(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, first(from(y1), y2)), z2)) -> c1(MARK(first(y0, first(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(0, y1)), z2)) -> c1(MARK(first(y0, first(0, y1))))
   A__FIRST(s(z0), cons(first(y0, first(nil, y1)), z2)) -> c1(MARK(first(y0, first(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, first(s(y1), y2)), z2)) -> c1(MARK(first(y0, first(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, first(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), first(y1, y2)), z2)) -> c1(MARK(first(from(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), first(y1, y2)), z2)) -> c1(MARK(first(s(y0), first(y1, y2))))
   A__FIRST(s(z0), cons(first(y0, first(y1, y2)), z2)) -> c1(MARK(first(y0, first(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), first(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FIRST(s(z0), cons(first(y0, from(y1)), z2)) -> c1(MARK(first(y0, from(y1))))
   A__FIRST(s(z0), cons(first(y0, from(first(y1, y2))), z2)) -> c1(MARK(first(y0, from(first(y1, y2)))))
   A__FIRST(s(z0), cons(first(y0, from(from(y1))), z2)) -> c1(MARK(first(y0, from(from(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(0)), z2)) -> c1(MARK(first(y0, from(0))))
   A__FIRST(s(z0), cons(first(y0, from(nil)), z2)) -> c1(MARK(first(y0, from(nil))))
   A__FIRST(s(z0), cons(first(y0, from(s(y1))), z2)) -> c1(MARK(first(y0, from(s(y1)))))
   A__FIRST(s(z0), cons(first(y0, from(cons(y1, y2))), z2)) -> c1(MARK(first(y0, from(cons(y1, y2)))))
   A__FIRST(s(z0), cons(first(first(y0, y1), from(y2)), z2)) -> c1(MARK(first(first(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(from(y0), from(y1)), z2)) -> c1(MARK(first(from(y0), from(y1))))
   A__FIRST(s(z0), cons(first(s(y0), from(y1)), z2)) -> c1(MARK(first(s(y0), from(y1))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), from(y2)), z2)) -> c1(MARK(first(cons(y0, y1), from(y2))))
   A__FIRST(s(z0), cons(first(y0, cons(first(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(y0, cons(from(y1), y2)), z2)) -> c1(MARK(first(y0, cons(from(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(0, y1)), z2)) -> c1(MARK(first(y0, cons(0, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(nil, y1)), z2)) -> c1(MARK(first(y0, cons(nil, y1))))
   A__FIRST(s(z0), cons(first(y0, cons(s(y1), y2)), z2)) -> c1(MARK(first(y0, cons(s(y1), y2))))
   A__FIRST(s(z0), cons(first(y0, cons(cons(y1, y2), y3)), z2)) -> c1(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FIRST(s(z0), cons(first(first(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(from(y0), cons(y1, y2)), z2)) -> c1(MARK(first(from(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(s(y0), cons(y1, y2)), z2)) -> c1(MARK(first(s(y0), cons(y1, y2))))
   A__FIRST(s(z0), cons(first(cons(y0, y1), cons(y2, y3)), z2)) -> c1(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FIRST(s(z0), cons(first(first(y0, first(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(y0, from(y1)), y2), z2)) -> c1(MARK(first(first(y0, from(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, 0), y1), z2)) -> c1(MARK(first(first(y0, 0), y1)))
   A__FIRST(s(z0), cons(first(first(y0, nil), y1), z2)) -> c1(MARK(first(first(y0, nil), y1)))
   A__FIRST(s(z0), cons(first(first(y0, s(y1)), y2), z2)) -> c1(MARK(first(first(y0, s(y1)), y2)))
   A__FIRST(s(z0), cons(first(first(y0, cons(y1, y2)), y3), z2)) -> c1(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FIRST(s(z0), cons(first(first(first(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(first(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(from(y0), y1), y2), z2)) -> c1(MARK(first(first(from(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(0, y0), y1), z2)) -> c1(MARK(first(first(0, y0), y1)))
   A__FIRST(s(z0), cons(first(first(nil, y0), y1), z2)) -> c1(MARK(first(first(nil, y0), y1)))
   A__FIRST(s(z0), cons(first(first(s(y0), y1), y2), z2)) -> c1(MARK(first(first(s(y0), y1), y2)))
   A__FIRST(s(z0), cons(first(first(cons(y0, y1), y2), y3), z2)) -> c1(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FIRST(s(z0), cons(first(first(y0, y1), 0), z2)) -> c1(MARK(first(first(y0, y1), 0)))
   A__FIRST(s(z0), cons(first(first(y0, y1), nil), z2)) -> c1(MARK(first(first(y0, y1), nil)))
   A__FIRST(s(z0), cons(first(first(y0, y1), s(y2)), z2)) -> c1(MARK(first(first(y0, y1), s(y2))))
   A__FIRST(s(z0), cons(first(first(y0, y1), y2), z2)) -> c1(MARK(first(first(y0, y1), y2)))
   A__FIRST(s(z0), cons(first(from(first(y0, y1)), y2), z2)) -> c1(MARK(first(from(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(from(y0)), y1), z2)) -> c1(MARK(first(from(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(0), y0), z2)) -> c1(MARK(first(from(0), y0)))
   A__FIRST(s(z0), cons(first(from(nil), y0), z2)) -> c1(MARK(first(from(nil), y0)))
   A__FIRST(s(z0), cons(first(from(s(y0)), y1), z2)) -> c1(MARK(first(from(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(from(cons(y0, y1)), y2), z2)) -> c1(MARK(first(from(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(from(y0), y1), z2)) -> c1(MARK(first(from(y0), y1)))
   A__FIRST(s(z0), cons(first(from(y0), 0), z2)) -> c1(MARK(first(from(y0), 0)))
   A__FIRST(s(z0), cons(first(from(y0), nil), z2)) -> c1(MARK(first(from(y0), nil)))
   A__FIRST(s(z0), cons(first(from(y0), s(y1)), z2)) -> c1(MARK(first(from(y0), s(y1))))
   A__FIRST(s(z0), cons(first(s(first(y0, y1)), y2), z2)) -> c1(MARK(first(s(first(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(from(y0)), y1), z2)) -> c1(MARK(first(s(from(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(0), y0), z2)) -> c1(MARK(first(s(0), y0)))
   A__FIRST(s(z0), cons(first(s(nil), y0), z2)) -> c1(MARK(first(s(nil), y0)))
   A__FIRST(s(z0), cons(first(s(s(y0)), y1), z2)) -> c1(MARK(first(s(s(y0)), y1)))
   A__FIRST(s(z0), cons(first(s(cons(y0, y1)), y2), z2)) -> c1(MARK(first(s(cons(y0, y1)), y2)))
   A__FIRST(s(z0), cons(first(s(y0), y1), z2)) -> c1(MARK(first(s(y0), y1)))
   A__FIRST(s(z0), cons(first(s(y0), 0), z2)) -> c1(MARK(first(s(y0), 0)))
   A__FIRST(s(z0), cons(first(s(y0), nil), z2)) -> c1(MARK(first(s(y0), nil)))
   A__FIRST(s(z0), cons(first(s(y0), s(y1)), z2)) -> c1(MARK(first(s(y0), s(y1))))
   A__FIRST(s(z0), cons(first(0, first(y0, y1)), z2)) -> c1(MARK(first(0, first(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, first(y0, y1)), z2)) -> c1(MARK(first(nil, first(y0, y1))))
   A__FIRST(s(z0), cons(first(0, from(y0)), z2)) -> c1(MARK(first(0, from(y0))))
   A__FIRST(s(z0), cons(first(nil, from(y0)), z2)) -> c1(MARK(first(nil, from(y0))))
   A__FIRST(s(z0), cons(first(y0, cons(y1, y2)), z2)) -> c1(MARK(first(y0, cons(y1, y2))))
   A__FIRST(s(z0), cons(first(0, cons(y0, y1)), z2)) -> c1(MARK(first(0, cons(y0, y1))))
   A__FIRST(s(z0), cons(first(nil, cons(y0, y1)), z2)) -> c1(MARK(first(nil, cons(y0, y1))))
   MARK(first(x0, cons(0, x2))) -> c5(MARK(x0))
   MARK(first(x0, cons(nil, x2))) -> c5(MARK(x0))
   A__FROM(from(y0)) -> c3(MARK(from(y0)))
   A__FROM(s(y0)) -> c3(MARK(s(y0)))
   A__FROM(cons(y0, y1)) -> c3(MARK(cons(y0, y1)))
   A__FROM(first(y0, 0)) -> c3(MARK(first(y0, 0)))
   A__FROM(first(y0, nil)) -> c3(MARK(first(y0, nil)))
   A__FROM(first(y0, s(y1))) -> c3(MARK(first(y0, s(y1))))
   A__FROM(first(cons(y0, y1), y2)) -> c3(MARK(first(cons(y0, y1), y2)))
   A__FROM(first(0, y0)) -> c3(MARK(first(0, y0)))
   A__FROM(first(nil, y0)) -> c3(MARK(first(nil, y0)))
   A__FROM(first(y0, first(y1, first(y2, y3)))) -> c3(MARK(first(y0, first(y1, first(y2, y3)))))
   A__FROM(first(y0, first(y1, from(y2)))) -> c3(MARK(first(y0, first(y1, from(y2)))))
   A__FROM(first(y0, first(y1, 0))) -> c3(MARK(first(y0, first(y1, 0))))
   A__FROM(first(y0, first(y1, nil))) -> c3(MARK(first(y0, first(y1, nil))))
   A__FROM(first(y0, first(y1, s(y2)))) -> c3(MARK(first(y0, first(y1, s(y2)))))
   A__FROM(first(y0, first(y1, cons(y2, y3)))) -> c3(MARK(first(y0, first(y1, cons(y2, y3)))))
   A__FROM(first(y0, first(first(y1, y2), y3))) -> c3(MARK(first(y0, first(first(y1, y2), y3))))
   A__FROM(first(y0, first(from(y1), y2))) -> c3(MARK(first(y0, first(from(y1), y2))))
   A__FROM(first(y0, first(0, y1))) -> c3(MARK(first(y0, first(0, y1))))
   A__FROM(first(y0, first(nil, y1))) -> c3(MARK(first(y0, first(nil, y1))))
   A__FROM(first(y0, first(s(y1), y2))) -> c3(MARK(first(y0, first(s(y1), y2))))
   A__FROM(first(y0, first(cons(y1, y2), y3))) -> c3(MARK(first(y0, first(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), first(y2, y3))) -> c3(MARK(first(first(y0, y1), first(y2, y3))))
   A__FROM(first(from(y0), first(y1, y2))) -> c3(MARK(first(from(y0), first(y1, y2))))
   A__FROM(first(s(y0), first(y1, y2))) -> c3(MARK(first(s(y0), first(y1, y2))))
   A__FROM(first(y0, first(y1, y2))) -> c3(MARK(first(y0, first(y1, y2))))
   A__FROM(first(cons(y0, y1), first(y2, y3))) -> c3(MARK(first(cons(y0, y1), first(y2, y3))))
   A__FROM(first(y0, from(y1))) -> c3(MARK(first(y0, from(y1))))
   A__FROM(first(y0, from(first(y1, y2)))) -> c3(MARK(first(y0, from(first(y1, y2)))))
   A__FROM(first(y0, from(from(y1)))) -> c3(MARK(first(y0, from(from(y1)))))
   A__FROM(first(y0, from(0))) -> c3(MARK(first(y0, from(0))))
   A__FROM(first(y0, from(nil))) -> c3(MARK(first(y0, from(nil))))
   A__FROM(first(y0, from(s(y1)))) -> c3(MARK(first(y0, from(s(y1)))))
   A__FROM(first(y0, from(cons(y1, y2)))) -> c3(MARK(first(y0, from(cons(y1, y2)))))
   A__FROM(first(first(y0, y1), from(y2))) -> c3(MARK(first(first(y0, y1), from(y2))))
   A__FROM(first(from(y0), from(y1))) -> c3(MARK(first(from(y0), from(y1))))
   A__FROM(first(s(y0), from(y1))) -> c3(MARK(first(s(y0), from(y1))))
   A__FROM(first(cons(y0, y1), from(y2))) -> c3(MARK(first(cons(y0, y1), from(y2))))
   A__FROM(first(y0, cons(first(y1, y2), y3))) -> c3(MARK(first(y0, cons(first(y1, y2), y3))))
   A__FROM(first(y0, cons(from(y1), y2))) -> c3(MARK(first(y0, cons(from(y1), y2))))
   A__FROM(first(y0, cons(s(y1), y2))) -> c3(MARK(first(y0, cons(s(y1), y2))))
   A__FROM(first(y0, cons(cons(y1, y2), y3))) -> c3(MARK(first(y0, cons(cons(y1, y2), y3))))
   A__FROM(first(first(y0, y1), cons(y2, y3))) -> c3(MARK(first(first(y0, y1), cons(y2, y3))))
   A__FROM(first(from(y0), cons(y1, y2))) -> c3(MARK(first(from(y0), cons(y1, y2))))
   A__FROM(first(s(y0), cons(y1, y2))) -> c3(MARK(first(s(y0), cons(y1, y2))))
   A__FROM(first(cons(y0, y1), cons(y2, y3))) -> c3(MARK(first(cons(y0, y1), cons(y2, y3))))
   A__FROM(first(first(y0, first(y1, y2)), y3)) -> c3(MARK(first(first(y0, first(y1, y2)), y3)))
   A__FROM(first(first(y0, from(y1)), y2)) -> c3(MARK(first(first(y0, from(y1)), y2)))
   A__FROM(first(first(y0, 0), y1)) -> c3(MARK(first(first(y0, 0), y1)))
   A__FROM(first(first(y0, nil), y1)) -> c3(MARK(first(first(y0, nil), y1)))
   A__FROM(first(first(y0, s(y1)), y2)) -> c3(MARK(first(first(y0, s(y1)), y2)))
   A__FROM(first(first(y0, cons(y1, y2)), y3)) -> c3(MARK(first(first(y0, cons(y1, y2)), y3)))
   A__FROM(first(first(first(y0, y1), y2), y3)) -> c3(MARK(first(first(first(y0, y1), y2), y3)))
   A__FROM(first(first(from(y0), y1), y2)) -> c3(MARK(first(first(from(y0), y1), y2)))
   A__FROM(first(first(0, y0), y1)) -> c3(MARK(first(first(0, y0), y1)))
   A__FROM(first(first(nil, y0), y1)) -> c3(MARK(first(first(nil, y0), y1)))
   A__FROM(first(first(s(y0), y1), y2)) -> c3(MARK(first(first(s(y0), y1), y2)))
   A__FROM(first(first(cons(y0, y1), y2), y3)) -> c3(MARK(first(first(cons(y0, y1), y2), y3)))
   A__FROM(first(first(y0, y1), 0)) -> c3(MARK(first(first(y0, y1), 0)))
   A__FROM(first(first(y0, y1), nil)) -> c3(MARK(first(first(y0, y1), nil)))
   A__FROM(first(first(y0, y1), s(y2))) -> c3(MARK(first(first(y0, y1), s(y2))))
   A__FROM(first(first(y0, y1), y2)) -> c3(MARK(first(first(y0, y1), y2)))
   A__FROM(first(from(first(y0, y1)), y2)) -> c3(MARK(first(from(first(y0, y1)), y2)))
   A__FROM(first(from(from(y0)), y1)) -> c3(MARK(first(from(from(y0)), y1)))
   A__FROM(first(from(0), y0)) -> c3(MARK(first(from(0), y0)))
   A__FROM(first(from(nil), y0)) -> c3(MARK(first(from(nil), y0)))
   A__FROM(first(from(s(y0)), y1)) -> c3(MARK(first(from(s(y0)), y1)))
   A__FROM(first(from(cons(y0, y1)), y2)) -> c3(MARK(first(from(cons(y0, y1)), y2)))
   A__FROM(first(from(y0), y1)) -> c3(MARK(first(from(y0), y1)))
   A__FROM(first(from(y0), 0)) -> c3(MARK(first(from(y0), 0)))
   A__FROM(first(from(y0), nil)) -> c3(MARK(first(from(y0), nil)))
   A__FROM(first(from(y0), s(y1))) -> c3(MARK(first(from(y0), s(y1))))
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   MARK(first(cons(s(first(y0, from(from(y1)))), y2), 0)) -> c5(MARK(cons(s(first(y0, from(from(y1)))), y2)))
   MARK(first(cons(s(first(y0, from(0))), y1), 0)) -> c5(MARK(cons(s(first(y0, from(0))), y1)))
   MARK(first(cons(s(first(y0, from(nil))), y1), 0)) -> c5(MARK(cons(s(first(y0, from(nil))), y1)))
   MARK(first(cons(s(first(y0, from(s(y1)))), y2), 0)) -> c5(MARK(cons(s(first(y0, from(s(y1)))), y2)))
   MARK(first(cons(s(first(y0, from(cons(y1, y2)))), y3), 0)) -> c5(MARK(cons(s(first(y0, from(cons(y1, y2)))), y3)))
   MARK(first(cons(s(first(first(y0, y1), from(y2))), y3), 0)) -> c5(MARK(cons(s(first(first(y0, y1), from(y2))), y3)))
   MARK(first(cons(s(first(from(y0), from(y1))), y2), 0)) -> c5(MARK(cons(s(first(from(y0), from(y1))), y2)))
   MARK(first(cons(s(first(s(y0), from(y1))), y2), 0)) -> c5(MARK(cons(s(first(s(y0), from(y1))), y2)))
   MARK(first(cons(s(first(cons(y0, y1), from(y2))), y3), 0)) -> c5(MARK(cons(s(first(cons(y0, y1), from(y2))), y3)))
   MARK(first(cons(s(first(y0, cons(first(y1, y2), y3))), y4), 0)) -> c5(MARK(cons(s(first(y0, cons(first(y1, y2), y3))), y4)))
   MARK(first(cons(s(first(y0, cons(from(y1), y2))), y3), 0)) -> c5(MARK(cons(s(first(y0, cons(from(y1), y2))), y3)))
   MARK(first(cons(s(first(y0, cons(s(y1), y2))), y3), 0)) -> c5(MARK(cons(s(first(y0, cons(s(y1), y2))), y3)))
   MARK(first(cons(s(first(y0, cons(cons(y1, y2), y3))), y4), 0)) -> c5(MARK(cons(s(first(y0, cons(cons(y1, y2), y3))), y4)))
   MARK(first(cons(s(first(first(y0, y1), cons(y2, y3))), y4), 0)) -> c5(MARK(cons(s(first(first(y0, y1), cons(y2, y3))), y4)))
   MARK(first(cons(s(first(from(y0), cons(y1, y2))), y3), 0)) -> c5(MARK(cons(s(first(from(y0), cons(y1, y2))), y3)))
   MARK(first(cons(s(first(s(y0), cons(y1, y2))), y3), 0)) -> c5(MARK(cons(s(first(s(y0), cons(y1, y2))), y3)))
   MARK(first(cons(s(first(cons(y0, y1), cons(y2, y3))), y4), 0)) -> c5(MARK(cons(s(first(cons(y0, y1), cons(y2, y3))), y4)))
   MARK(first(cons(s(first(first(y0, first(y1, y2)), y3)), y4), 0)) -> c5(MARK(cons(s(first(first(y0, first(y1, y2)), y3)), y4)))
   MARK(first(cons(s(first(first(y0, from(y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(first(y0, from(y1)), y2)), y3)))
   MARK(first(cons(s(first(first(y0, 0), y1)), y2), 0)) -> c5(MARK(cons(s(first(first(y0, 0), y1)), y2)))
   MARK(first(cons(s(first(first(y0, nil), y1)), y2), 0)) -> c5(MARK(cons(s(first(first(y0, nil), y1)), y2)))
   MARK(first(cons(s(first(first(y0, s(y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(first(y0, s(y1)), y2)), y3)))
   MARK(first(cons(s(first(first(y0, cons(y1, y2)), y3)), y4), 0)) -> c5(MARK(cons(s(first(first(y0, cons(y1, y2)), y3)), y4)))
   MARK(first(cons(s(first(first(first(y0, y1), y2), y3)), y4), 0)) -> c5(MARK(cons(s(first(first(first(y0, y1), y2), y3)), y4)))
   MARK(first(cons(s(first(first(from(y0), y1), y2)), y3), 0)) -> c5(MARK(cons(s(first(first(from(y0), y1), y2)), y3)))
   MARK(first(cons(s(first(first(0, y0), y1)), y2), 0)) -> c5(MARK(cons(s(first(first(0, y0), y1)), y2)))
   MARK(first(cons(s(first(first(nil, y0), y1)), y2), 0)) -> c5(MARK(cons(s(first(first(nil, y0), y1)), y2)))
   MARK(first(cons(s(first(first(s(y0), y1), y2)), y3), 0)) -> c5(MARK(cons(s(first(first(s(y0), y1), y2)), y3)))
   MARK(first(cons(s(first(first(cons(y0, y1), y2), y3)), y4), 0)) -> c5(MARK(cons(s(first(first(cons(y0, y1), y2), y3)), y4)))
   MARK(first(cons(s(first(first(y0, y1), 0)), y2), 0)) -> c5(MARK(cons(s(first(first(y0, y1), 0)), y2)))
   MARK(first(cons(s(first(first(y0, y1), nil)), y2), 0)) -> c5(MARK(cons(s(first(first(y0, y1), nil)), y2)))
   MARK(first(cons(s(first(first(y0, y1), s(y2))), y3), 0)) -> c5(MARK(cons(s(first(first(y0, y1), s(y2))), y3)))
   MARK(first(cons(s(first(first(y0, y1), y2)), y3), 0)) -> c5(MARK(cons(s(first(first(y0, y1), y2)), y3)))
   MARK(first(cons(s(first(from(first(y0, y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(from(first(y0, y1)), y2)), y3)))
   MARK(first(cons(s(first(from(from(y0)), y1)), y2), 0)) -> c5(MARK(cons(s(first(from(from(y0)), y1)), y2)))
   MARK(first(cons(s(first(from(s(y0)), y1)), y2), 0)) -> c5(MARK(cons(s(first(from(s(y0)), y1)), y2)))
   MARK(first(cons(s(first(from(cons(y0, y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(from(cons(y0, y1)), y2)), y3)))
   MARK(first(cons(s(first(from(y0), y1)), y2), 0)) -> c5(MARK(cons(s(first(from(y0), y1)), y2)))
   MARK(first(cons(s(first(from(y0), 0)), y1), 0)) -> c5(MARK(cons(s(first(from(y0), 0)), y1)))
   MARK(first(cons(s(first(from(y0), nil)), y1), 0)) -> c5(MARK(cons(s(first(from(y0), nil)), y1)))
   MARK(first(cons(s(first(from(y0), s(y1))), y2), 0)) -> c5(MARK(cons(s(first(from(y0), s(y1))), y2)))
   MARK(first(cons(s(first(s(first(y0, y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(s(first(y0, y1)), y2)), y3)))
   MARK(first(cons(s(first(s(from(y0)), y1)), y2), 0)) -> c5(MARK(cons(s(first(s(from(y0)), y1)), y2)))
   MARK(first(cons(s(first(s(0), y0)), y1), 0)) -> c5(MARK(cons(s(first(s(0), y0)), y1)))
   MARK(first(cons(s(first(s(nil), y0)), y1), 0)) -> c5(MARK(cons(s(first(s(nil), y0)), y1)))
   MARK(first(cons(s(first(s(s(y0)), y1)), y2), 0)) -> c5(MARK(cons(s(first(s(s(y0)), y1)), y2)))
   MARK(first(cons(s(first(s(cons(y0, y1)), y2)), y3), 0)) -> c5(MARK(cons(s(first(s(cons(y0, y1)), y2)), y3)))
   MARK(first(cons(s(first(s(y0), y1)), y2), 0)) -> c5(MARK(cons(s(first(s(y0), y1)), y2)))
   MARK(first(cons(s(first(s(y0), 0)), y1), 0)) -> c5(MARK(cons(s(first(s(y0), 0)), y1)))
   MARK(first(cons(s(first(s(y0), nil)), y1), 0)) -> c5(MARK(cons(s(first(s(y0), nil)), y1)))
   MARK(first(cons(s(first(s(y0), s(y1))), y2), 0)) -> c5(MARK(cons(s(first(s(y0), s(y1))), y2)))
   MARK(first(cons(s(first(0, first(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(0, first(y0, y1))), y2)))
   MARK(first(cons(s(first(nil, first(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(nil, first(y0, y1))), y2)))
   MARK(first(cons(s(first(0, from(y0))), y1), 0)) -> c5(MARK(cons(s(first(0, from(y0))), y1)))
   MARK(first(cons(s(first(nil, from(y0))), y1), 0)) -> c5(MARK(cons(s(first(nil, from(y0))), y1)))
   MARK(first(cons(s(first(y0, cons(y1, y2))), y3), 0)) -> c5(MARK(cons(s(first(y0, cons(y1, y2))), y3)))
   MARK(first(cons(s(first(0, cons(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(0, cons(y0, y1))), y2)))
   MARK(first(cons(s(first(nil, cons(y0, y1))), y2), 0)) -> c5(MARK(cons(s(first(nil, cons(y0, y1))), y2)))
   MARK(first(cons(s(first(from(0), y0)), y1), 0)) -> c5(MARK(cons(s(first(from(0), y0)), y1)))
   MARK(first(cons(s(first(from(nil), y0)), y1), 0)) -> c5(MARK(cons(s(first(from(nil), y0)), y1)))
   MARK(first(cons(s(first(y0, cons(0, y1))), y2), 0)) -> c5(MARK(cons(s(first(y0, cons(0, y1))), y2)))
   MARK(first(cons(s(first(y0, cons(nil, y1))), y2), 0)) -> c5(MARK(cons(s(first(y0, cons(nil, y1))), y2)))
   MARK(first(cons(s(from(s(y0))), y1), 0)) -> c5(MARK(cons(s(from(s(y0))), y1)))
   MARK(first(cons(s(from(cons(y0, y1))), y2), 0)) -> c5(MARK(cons(s(from(cons(y0, y1))), y2)))
   MARK(first(cons(s(from(first(y0, y1))), y2), 0)) -> c5(MARK(cons(s(from(first(y0, y1))), y2)))
   MARK(first(cons(s(from(first(y0, first(y1, y2)))), y3), 0)) -> c5(MARK(cons(s(from(first(y0, first(y1, y2)))), y3)))
   MARK(first(cons(s(from(first(y0, from(y1)))), y2), 0)) -> c5(MARK(cons(s(from(first(y0, from(y1)))), y2)))
   MARK(first(cons(s(from(first(y0, 0))), y1), 0)) -> c5(MARK(cons(s(from(first(y0, 0))), y1)))
   MARK(first(cons(s(from(first(y0, nil))), y1), 0)) -> c5(MARK(cons(s(from(first(y0, nil))), y1)))
   MARK(first(cons(s(from(first(y0, s(y1)))), y2), 0)) -> c5(MARK(cons(s(from(first(y0, s(y1)))), y2)))
   MARK(first(cons(s(from(first(y0, cons(y1, y2)))), y3), 0)) -> c5(MARK(cons(s(from(first(y0, cons(y1, y2)))), y3)))
   MARK(first(cons(s(from(first(first(y0, y1), y2))), y3), 0)) -> c5(MARK(cons(s(from(first(first(y0, y1), y2))), y3)))
   MARK(first(cons(s(from(first(from(y0), y1))), y2), 0)) -> c5(MARK(cons(s(from(first(from(y0), y1))), y2)))
   MARK(first(cons(s(from(first(0, y0))), y1), 0)) -> c5(MARK(cons(s(from(first(0, y0))), y1)))
   MARK(first(cons(s(from(first(nil, y0))), y1), 0)) -> c5(MARK(cons(s(from(first(nil, y0))), y1)))
   MARK(first(cons(s(from(first(s(y0), y1))), y2), 0)) -> c5(MARK(cons(s(from(first(s(y0), y1))), y2)))
   MARK(first(cons(s(from(first(cons(y0, y1), y2))), y3), 0)) -> c5(MARK(cons(s(from(first(cons(y0, y1), y2))), y3)))
   MARK(first(cons(s(from(from(y0))), y1), 0)) -> c5(MARK(cons(s(from(from(y0))), y1)))
   MARK(first(cons(s(from(from(first(y0, y1)))), y2), 0)) -> c5(MARK(cons(s(from(from(first(y0, y1)))), y2)))
   MARK(first(cons(s(from(from(from(y0)))), y1), 0)) -> c5(MARK(cons(s(from(from(from(y0)))), y1)))
   MARK(first(cons(s(from(from(s(y0)))), y1), 0)) -> c5(MARK(cons(s(from(from(s(y0)))), y1)))
   MARK(first(cons(s(from(from(cons(y0, y1)))), y2), 0)) -> c5(MARK(cons(s(from(from(cons(y0, y1)))), y2)))
   MARK(first(cons(s(from(from(0))), y0), 0)) -> c5(MARK(cons(s(from(from(0))), y0)))
   MARK(first(cons(s(from(from(nil))), y0), 0)) -> c5(MARK(cons(s(from(from(nil))), y0)))
K tuples:none
Defined Rule Symbols:   a__first_2, a__from_1, mark_1

Defined Pair Symbols:   MARK_1, A__FIRST_2, A__FROM_1

Compound Symbols:   c5_1, c6_1, c5_2, c6_2, c1_1, c3_1, c7_2, c7_1, c10_1, c11_1